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100228479854472 = 23331727295337651
BaseRepresentation
bin10110110010100001000010…
…111100000010011110001000
3111010212202020002110201112000
4112302201002330002132020
5101114120411320320342
6553100154502551000
730053161110644034
oct2662410274023610
9433782202421460
10100228479854472
1129a32728a21592
12b2a8b4b138460
1343c06749034c8
141aa71274b31c4
15b8c28d19444c
hex5b2842f02788

100228479854472 has 64 divisors (see below), whose sum is σ = 294789646641600. Its totient is φ = 31444228972800.

The previous prime is 100228479854453. The next prime is 100228479854473. The reversal of 100228479854472 is 274458974822001.

100228479854472 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 84 + 7 + 9 + 8 + 544 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (100228479854473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13647665154 + ... + 13647672497.

It is an arithmetic number, because the mean of its divisors is an integer number (4606088228775).

Almost surely, 2100228479854472 is an apocalyptic number.

100228479854472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100228479854472 is an abundant number, since it is smaller than the sum of its proper divisors (194561166787128).

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

100228479854472 is a wasteful number, since it uses less digits than its factorization.

100228479854472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27295337683 (or 27295337673 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 100228479854472 in words is "one hundred trillion, two hundred twenty-eight billion, four hundred seventy-nine million, eight hundred fifty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 27295337651 54590675302 81886012953 109181350604 163772025906 218362701208 245658038859 327544051812 464020740067 491316077718 655088103624 736974116577 928041480134 982632155436 1392062220201 1473948233154 1856082960268 1965264310872 2784124440402 2947896466308 3712165920536 4176186660603 5568248880804 5895792932616 8352373321206 11136497761608 12528559981809 16704746642412 25057119963618 33409493284824 50114239927236 100228479854472