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101626421436 = 223224180914479
BaseRepresentation
bin101111010100101101…
…0000010000010111100
3100201022112001010000200
41132221122002002330
53131112330441221
6114404142523500
710225253220651
oct1365132020274
9321275033020
10101626421436
113a110513651
1217842596590
1397777666a7
144cc1071c28
15299be07426
hex17a96820bc

101626421436 has 72 divisors (see below), whose sum is σ = 258291633600. Its totient is φ = 33690885120.

The previous prime is 101626421423. The next prime is 101626421441. The reversal of 101626421436 is 634124626101.

101626421436 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 2 + 642 + 1 + 4 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101626421436.

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 23 ways as a sum of consecutive naturals, for example, 7011645 + ... + 7026123.

It is an arithmetic number, because the mean of its divisors is an integer number (3587383800).

Almost surely, 2101626421436 is an apocalyptic number.

It is an amenable number.

101626421436 is an abundant number, since it is smaller than the sum of its proper divisors (156665212164).

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

101626421436 is a wasteful number, since it uses less digits than its factorization.

101626421436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15539 (or 15534 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 101626421436 in words is "one hundred one billion, six hundred twenty-six million, four hundred twenty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 241 482 723 809 964 1446 1618 2169 2427 2892 3236 4338 4854 7281 8676 9708 14479 14562 28958 29124 43437 57916 86874 130311 173748 194969 260622 389938 521244 584907 779876 1169814 1754721 2339628 3489439 3509442 6978878 7018884 10468317 11713511 13957756 20936634 23427022 31404951 35140533 41873268 46854044 62809902 70281066 105421599 125619804 140562132 210843198 421686396 2822956151 5645912302 8468868453 11291824604 16937736906 25406605359 33875473812 50813210718 101626421436