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157582010551 = 72191973792267
BaseRepresentation
bin1001001011000010011…
…1101010100010110111
3120001202011100120001011
42102300213222202313
510040211443314201
6200220413213051
714246012663200
oct2226047524267
9501664316034
10157582010551
1160914a33979
1226659a91187
1311b24322a34
1478ac7305a7
154174561151
hex24b09ea8b7

157582010551 has 48 divisors (see below), whose sum is σ = 194534524800. Its totient is φ = 126919856448.

The previous prime is 157582010543. The next prime is 157582010587. The reversal of 157582010551 is 155010285751.

157582010551 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 157582010551 - 23 = 157582010543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157582010251) 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 47 ways as a sum of consecutive naturals, for example, 69510120 + ... + 69512386.

It is an arithmetic number, because the mean of its divisors is an integer number (4052802600).

Almost surely, 2157582010551 is an apocalyptic number.

157582010551 is a deficient number, since it is larger than the sum of its proper divisors (36952514249).

157582010551 is a wasteful number, since it uses less digits than its factorization.

157582010551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 40.

The spelling of 157582010551 in words is "one hundred fifty-seven billion, five hundred eighty-two million, ten thousand, five hundred fifty-one".

Divisors: 1 7 19 49 133 197 379 931 1379 2267 2653 3743 7201 9653 15869 18571 26201 43073 50407 74663 111083 183407 301511 352849 446599 522641 859193 1418597 2110577 3126193 3658487 6014351 8485381 9930179 16324667 21883351 42100457 59397667 69511253 114272669 169261021 415783669 799908683 1184827147 3215959399 8293790029 22511715793 157582010551