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252354552456440 = 23571456016189973
BaseRepresentation
bin111001011000001111011111…
…011101001110010011111000
31020002111212012122122010021002
4321120033133131032103320
5231034034110412101230
62252414025253304132
7104104005026511020
oct7130173735162370
91202455178563232
10252354552456440
1173453a67aa0465
1224378005035048
13aaa6c17026835
14464604ddd2a80
151e294c3731545
hexe583df74e4f8

252354552456440 has 64 divisors (see below), whose sum is σ = 648916267930560. Its totient is φ = 86520952627200.

The previous prime is 252354552456431. The next prime is 252354552456493. The reversal of 252354552456440 is 44654255453252.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37673294 + ... + 43863266.

It is an arithmetic number, because the mean of its divisors is an integer number (10139316686415).

Almost surely, 2252354552456440 is an apocalyptic number.

252354552456440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252354552456440 is an abundant number, since it is smaller than the sum of its proper divisors (396561715474120).

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

252354552456440 is a wasteful number, since it uses less digits than its factorization.

252354552456440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6335592 (or 6335588 counting only the distinct ones).

The product of its (nonzero) digits is 115200000, while the sum is 56.

The spelling of 252354552456440 in words is "two hundred fifty-two trillion, three hundred fifty-four billion, five hundred fifty-two million, four hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 145601 291202 582404 728005 1019207 1164808 1456010 2038414 2912020 4076828 5096035 5824040 6189973 8153656 10192070 12379946 20384140 24759892 30949865 40768280 43329811 49519784 61899730 86659622 123799460 173319244 216649055 247598920 346638488 433298110 866596220 1733192440 901266258773 1802532517546 3605065035092 4506331293865 6308863811411 7210130070184 9012662587730 12617727622822 18025325175460 25235455245644 31544319057055 36050650350920 50470910491288 63088638114110 126177276228220 252354552456440