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157501905253 = 72111050127827
BaseRepresentation
bin1001001010101111011…
…0000101100101100101
3120001112120121210020021
42102223312011211211
510040030441432003
6200204432235141
714244021051100
oct2225366054545
9501476553207
10157501905253
11608837a0650
122663709bab1
1311b10856754
1478a1c3b737
15416c4db2bd
hex24abd85965

157501905253 has 24 divisors (see below), whose sum is σ = 199898764704. Its totient is φ = 122712660000.

The previous prime is 157501905241. The next prime is 157501905257. The reversal of 157501905253 is 352509105751.

157501905253 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 157501905253 - 217 = 157501774181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157501905257) 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 23 ways as a sum of consecutive naturals, for example, 5646126 + ... + 5673952.

It is an arithmetic number, because the mean of its divisors is an integer number (8329115196).

Almost surely, 2157501905253 is an apocalyptic number.

It is an amenable number.

157501905253 is a deficient number, since it is larger than the sum of its proper divisors (42396859451).

157501905253 is a wasteful number, since it uses less digits than its factorization.

157501905253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38353 (or 38346 counting only the distinct ones).

The product of its (nonzero) digits is 236250, while the sum is 43.

The spelling of 157501905253 in words is "one hundred fifty-seven billion, five hundred one million, nine hundred five thousand, two hundred fifty-three".

Divisors: 1 7 11 49 77 539 10501 27827 73507 115511 194789 306097 514549 808577 1363523 2142679 5660039 14998753 292211327 2045479289 3214324597 14318355023 22500272179 157501905253