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5101197824 = 29191274129
BaseRepresentation
bin1001100000000111…
…00001101000000000
3111011111210200212202
410300003201220000
540421401312244
62202104212332
7240261315602
oct46003415000
914144720782
105101197824
112188547478
12ba446a0a8
13633b01668
143656c5172
151ecc9604e
hex1300e1a00

5101197824 has 80 divisors (see below), whose sum is σ = 10815974400. Its totient is φ = 2396749824.

The previous prime is 5101197821. The next prime is 5101197841. The reversal of 5101197824 is 4287911015.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (5101197821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1233392 + ... + 1237520.

It is an arithmetic number, because the mean of its divisors is an integer number (135199680).

Almost surely, 25101197824 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 5101197824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407987200).

5101197824 is an abundant number, since it is smaller than the sum of its proper divisors (5714776576).

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

5101197824 is a wasteful number, since it uses less digits than its factorization.

5101197824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 38.

The square root of 5101197824 is about 71422.6702385174. The cubic root of 5101197824 is about 1721.4353693406.

The spelling of 5101197824 in words is "five billion, one hundred one million, one hundred ninety-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 127 128 152 254 256 304 508 512 608 1016 1216 2032 2413 2432 4064 4129 4826 4864 8128 8258 9652 9728 16256 16516 19304 32512 33032 38608 65024 66064 77216 78451 132128 154432 156902 264256 308864 313804 524383 528512 617728 627608 1048766 1057024 1235456 1255216 2097532 2114048 2510432 4195064 5020864 8390128 9963277 10041728 16780256 19926554 20083456 33560512 39853108 40166912 67121024 79706216 134242048 159412432 268484096 318824864 637649728 1275299456 2550598912 5101197824