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157753212344 = 23713227954599
BaseRepresentation
bin1001001011101011010…
…0101111110110111000
3120002012002111111202022
42102322310233312320
510041034310243334
6200245410454012
714253162115610
oct2227264576670
9502162444668
10157753212344
11609a2637362
12266a7294308
1311b50936080
1478c7377a40
1541845cc82e
hex24bad2fdb8

157753212344 has 64 divisors (see below), whose sum is σ = 365649984000. Its totient is φ = 62132874624.

The previous prime is 157753212341. The next prime is 157753212361. The reversal of 157753212344 is 443212357751.

It is a happy number.

157753212344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 157753212295 and 157753212304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157753212341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312044 + ... + 642555.

It is an arithmetic number, because the mean of its divisors is an integer number (5713281000).

Almost surely, 2157753212344 is an apocalyptic number.

157753212344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

157753212344 is an abundant number, since it is smaller than the sum of its proper divisors (207896771656).

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

157753212344 is a wasteful number, since it uses less digits than its factorization.

157753212344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954852 (or 954848 counting only the distinct ones).

The product of its digits is 705600, while the sum is 44.

The spelling of 157753212344 in words is "one hundred fifty-seven billion, seven hundred fifty-three million, two hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 227 364 454 728 908 1589 1816 2951 3178 5902 6356 11804 12712 20657 23608 41314 82628 165256 954599 1909198 3818396 6682193 7636792 12409787 13364386 24819574 26728772 49639148 53457544 86868509 99278296 173737018 216693973 347474036 433387946 694948072 866775892 1516857811 1733551784 2817021649 3033715622 5634043298 6067431244 11268086596 12134862488 19719151543 22536173192 39438303086 78876606172 157753212344