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20513174157 = 3372926913913
BaseRepresentation
bin10011000110101011…
…100011001010001101
31221221121011012212000
4103012223203022031
5314002333033112
613231300302513
71324223050320
oct230653431215
957847135760
1020513174157
1187771743a3
123b859a1a39
131c1bac3298
14dc850a7b7
15800d377dc
hex4c6ae328d

20513174157 has 64 divisors (see below), whose sum is σ = 36065088000. Its totient is φ = 11274729984.

The previous prime is 20513174141. The next prime is 20513174159. The reversal of 20513174157 is 75147131502.

20513174157 is a `hidden beast` number, since 20 + 513 + 1 + 74 + 1 + 57 = 666.

It is not a de Polignac number, because 20513174157 - 24 = 20513174141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20513174159) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1467433 + ... + 1481345.

It is an arithmetic number, because the mean of its divisors is an integer number (563517000).

Almost surely, 220513174157 is an apocalyptic number.

20513174157 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20513174157 is a deficient number, since it is larger than the sum of its proper divisors (15551913843).

20513174157 is a wasteful number, since it uses less digits than its factorization.

20513174157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14227 (or 14221 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 20513174157 in words is "twenty billion, five hundred thirteen million, one hundred seventy-four thousand, one hundred fifty-seven".

Divisors: 1 3 7 9 21 27 29 63 87 189 203 261 269 609 783 807 1827 1883 2421 5481 5649 7263 7801 13913 16947 23403 41739 50841 54607 70209 97391 125217 163821 210627 292173 375651 403477 491463 876519 1210431 1474389 2629557 2824339 3631293 3742597 8473017 10893879 11227791 25419051 26198179 33683373 76257153 78594537 101050119 108535313 235783611 325605939 707350833 759747191 976817817 2279241573 2930453451 6837724719 20513174157