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252160505040 = 24353133892541
BaseRepresentation
bin1110101011010111101…
…1111111010011010000
3220002212111110212212110
43222311323333103100
513112411042130130
6311501350425320
724134525633163
oct3526573772320
9802774425773
10252160505040
1197a39038704
1240a54062240
131aa17872842
14c2c172bada
15685c833ab0
hex3ab5eff4d0

252160505040 has 80 divisors (see below), whose sum is σ = 806913639936. Its totient is φ = 65073676800.

The previous prime is 252160505027. The next prime is 252160505059. The reversal of 252160505040 is 40505061252.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 252160504989 and 252160505007.

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, 16938831 + ... + 16953710.

Almost surely, 2252160505040 is an apocalyptic number.

252160505040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252160505040 is an abundant number, since it is smaller than the sum of its proper divisors (554753134896).

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

252160505040 is a wasteful number, since it uses less digits than its factorization.

252160505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33892588 (or 33892582 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 252160505040 its reverse (40505061252), we get a palindrome (292665566292).

The spelling of 252160505040 in words is "two hundred fifty-two billion, one hundred sixty million, five hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 33892541 67785082 101677623 135570164 169462705 203355246 271140328 338925410 406710492 508388115 542280656 677850820 813420984 1016776230 1050668771 1355701640 1626841968 2033552460 2101337542 2711403280 3152006313 4067104920 4202675084 5253343855 6304012626 8134209840 8405350168 10506687710 12608025252 15760031565 16810700336 21013375420 25216050504 31520063130 42026750840 50432101008 63040126260 84053501680 126080252520 252160505040