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157829928751 = 11211142747653
BaseRepresentation
bin1001001011111101100…
…1011001011100101111
3120002101102212002212201
42102333121121130233
510041213430210001
6200301151042331
714255113154605
oct2227731313457
9502342762781
10157829928751
1160a31975550
1226708b103a7
1311b637b69b1
1478d3627875
15418b1d3501
hex24bf65972f

157829928751 has 16 divisors (see below), whose sum is σ = 173118976128. Its totient is φ = 142698679200.

The previous prime is 157829928749. The next prime is 157829928757.

157829928751 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 157829928751 - 21 = 157829928749 is a prime.

It is a super-3 number, since 3×1578299287513 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157829928757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3288241 + ... + 3335893.

It is an arithmetic number, because the mean of its divisors is an integer number (10819936008).

Almost surely, 2157829928751 is an apocalyptic number.

157829928751 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

157829928751 is a deficient number, since it is larger than the sum of its proper divisors (15289047377).

157829928751 is a wasteful number, since it uses less digits than its factorization.

157829928751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49302.

The product of its digits is 25401600, while the sum is 64.

The spelling of 157829928751 in words is "one hundred fifty-seven billion, eight hundred twenty-nine million, nine hundred twenty-eight thousand, seven hundred fifty-one".

Divisors: 1 11 211 1427 2321 15697 47653 301097 524183 3312067 10054783 68000831 110602613 748009141 14348175341 157829928751