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157753008440 = 23527191450469
BaseRepresentation
bin1001001011101011001…
…1111110000100111000
3120002012002010011001022
42102322303332010320
510041034232232230
6200245402242012
714253160306256
oct2227263760470
9502162104038
10157753008440
11609a2508145
12266a71b6308
1311b50894311
1478c73235d6
15418458c1e5
hex24bacfe138

157753008440 has 32 divisors (see below), whose sum is σ = 355075056000. Its totient is φ = 63077952384.

The previous prime is 157753008437. The next prime is 157753008443. The reversal of 157753008440 is 44800357751.

It is an interprime number because it is at equal distance from previous prime (157753008437) and next prime (157753008443).

It is a super-2 number, since 2×1577530084402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 157753008391 and 157753008400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157753008443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 616475 + ... + 833994.

It is an arithmetic number, because the mean of its divisors is an integer number (11096095500).

Almost surely, 2157753008440 is an apocalyptic number.

157753008440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157753008440 is an abundant number, since it is smaller than the sum of its proper divisors (197322047560).

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

157753008440 is a wasteful number, since it uses less digits than its factorization.

157753008440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453199 (or 1453195 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 44.

The spelling of 157753008440 in words is "one hundred fifty-seven billion, seven hundred fifty-three million, eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2719 5438 10876 13595 21752 27190 54380 108760 1450469 2900938 5801876 7252345 11603752 14504690 29009380 58018760 3943825211 7887650422 15775300844 19719126055 31550601688 39438252110 78876504220 157753008440