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48080376804432 = 24371792712949893
BaseRepresentation
bin10101110111010100101011…
…10001111011010001010000
320022020102212010110010200110
422323222111301323101100
522300222102430220212
6250131453054121320
713061456362450620
oct1273522561732120
9208212763403613
1048080376804432
1114357856287105
125486370ab0240
1320a9c633a321b
14bc316197a880
15585a33281a3c
hex2bba95c7b450

48080376804432 has 160 divisors (see below), whose sum is σ = 143271395758080. Its totient is φ = 13610093713920.

The previous prime is 48080376804409. The next prime is 48080376804433. The reversal of 48080376804432 is 23440867308084.

It is a super-3 number, since 3×480803768044323 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48080376804433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14824078 + ... + 17773970.

It is an arithmetic number, because the mean of its divisors is an integer number (895446223488).

Almost surely, 248080376804432 is an apocalyptic number.

48080376804432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48080376804432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71635697879040).

48080376804432 is an abundant number, since it is smaller than the sum of its proper divisors (95191018953648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48080376804432 is a wasteful number, since it uses less digits than its factorization.

48080376804432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950361 (or 2950355 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 57.

The spelling of 48080376804432 in words is "forty-eight trillion, eighty billion, three hundred seventy-six million, eight hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 179 271 336 358 537 542 716 813 1074 1084 1253 1432 1626 1897 2148 2168 2506 2864 3252 3759 3794 4296 4336 5012 5691 6504 7518 7588 8592 10024 11382 13008 15036 15176 20048 22764 30072 30352 45528 48509 60144 91056 97018 145527 194036 291054 339563 388072 582108 679126 776144 1018689 1164216 1358252 2037378 2328432 2716504 2949893 4074756 5433008 5899786 8149512 8849679 11799572 16299024 17699358 20649251 23599144 35398716 41298502 47198288 61947753 70797432 82597004 123895506 141594864 165194008 247791012 330388016 495582024 528030847 799421003 991164048 1056061694 1584092541 1598842006 2112123388 2398263009 3168185082 3197684012 3696215929 4224246776 4796526018 5595947021 6336370164 6395368024 7392431858 8448493552 9593052036 11088647787 11191894042 12672740328 12790736048 14784863716 16787841063 19186104072 22177295574 22383788084 25345480656 29569727432 33575682126 38372208144 44354591148 44767576168 59139454864 67151364252 88709182296 89535152336 134302728504 143096359537 177418364592 268605457008 286192719074 429289078611 572385438148 858578157222 1001674516759 1144770876296 1717156314444 2003349033518 2289541752592 3005023550277 3434312628888 4006698067036 6010047100554 6868625257776 8013396134072 12020094201108 16026792268144 24040188402216 48080376804432