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48841495456 = 2513196539463
BaseRepresentation
bin101101011111001011…
…100001001110100000
311200001211220001011011
4231133023201032200
51300011410323311
634234254430304
73346223601325
oct553713411640
9150054801134
1048841495456
1119793829486
129570b02394
1347b4a46990
142514922b4c
15140cd04321
hexb5f2e13a0

48841495456 has 96 divisors (see below), whose sum is σ = 109182003840. Its totient is φ = 21320838144.

The previous prime is 48841495453. The next prime is 48841495501. The reversal of 48841495456 is 65459414884.

48841495456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×488414954563 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48841495456.

It is not an unprimeable number, because it can be changed into a prime (48841495453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5156581 + ... + 5166043.

It is an arithmetic number, because the mean of its divisors is an integer number (1137312540).

Almost surely, 248841495456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48841495456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54591001920).

48841495456 is an abundant number, since it is smaller than the sum of its proper divisors (60340508384).

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

48841495456 is a wasteful number, since it uses less digits than its factorization.

48841495456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10158 (or 10150 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 58.

The spelling of 48841495456 in words is "forty-eight billion, eight hundred forty-one million, four hundred ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 653 988 1306 1976 2612 3952 5224 7904 8489 9463 10448 12407 16978 18926 20896 24814 33956 37852 49628 67912 75704 99256 123019 135824 151408 161291 179797 198512 246038 271648 302816 322582 359594 397024 492076 645164 719188 984152 1290328 1438376 1968304 2337361 2580656 2876752 3936608 4674722 5161312 5753504 6179339 9349444 12358678 18698888 24717356 37397776 49434712 74795552 80331407 98869424 117407441 160662814 197738848 234814882 321325628 469629764 642651256 939259528 1285302512 1526296733 1878519056 2570605024 3052593466 3757038112 6105186932 12210373864 24420747728 48841495456