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4272345680 = 2452315115377
BaseRepresentation
bin1111111010100110…
…1101001001010000
3102000202011122111012
43332221231021100
532222210030210
61543535110052
7210605224211
oct37651551120
912022148435
104272345680
1118a269a5a9
129b2972328
135311890c5
142c75a9408
151a0120305
hexfea6d250

4272345680 has 80 divisors (see below), whose sum is σ = 10434403584. Its totient is φ = 1623705600.

The previous prime is 4272345677. The next prime is 4272345709. The reversal of 4272345680 is 865432724.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270152 + ... + 285528.

Almost surely, 24272345680 is an apocalyptic number.

4272345680 is a gapful number since it is divisible by the number (40) 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 4272345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217201792).

4272345680 is an abundant number, since it is smaller than the sum of its proper divisors (6162057904).

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

4272345680 is a wasteful number, since it uses less digits than its factorization.

4272345680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15564 (or 15558 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The square root of 4272345680 is about 65363.1829090353. The cubic root of 4272345680 is about 1622.6398153339.

The spelling of 4272345680 in words is "four billion, two hundred seventy-two million, three hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 151 184 230 302 368 460 604 755 920 1208 1510 1840 2416 3020 3473 6040 6946 12080 13892 15377 17365 27784 30754 34730 55568 61508 69460 76885 123016 138920 153770 246032 277840 307540 353671 615080 707342 1230160 1414684 1768355 2321927 2829368 3536710 4643854 5658736 7073420 9287708 11609635 14146840 18575416 23219270 28293680 37150832 46438540 53404321 92877080 106808642 185754160 213617284 267021605 427234568 534043210 854469136 1068086420 2136172840 4272345680