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139452835968 = 2732157771037
BaseRepresentation
bin1000000111100000001…
…0010110100010000000
3111022221201010001210200
42001320002112202000
54241044411222333
6144021434125200
713034525355615
oct2017002264200
9438851101720
10139452835968
1154161543766
122303a580800
13101c54055b4
146a6caba50c
153962b8dc13
hex2078096880

139452835968 has 96 divisors (see below), whose sum is σ = 403846573260. Its totient is φ = 46188140544.

The previous prime is 139452835967. The next prime is 139452835969. The reversal of 139452835968 is 869538254931.

139452835968 is a `hidden beast` number, since 1 + 39 + 4 + 5 + 2 + 8 + 3 + 596 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (139452835967) and next prime (139452835969).

It can be written as a sum of positive squares in 2 ways, for example, as 136657387584 + 2795448384 = 369672^2 + 52872^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (139452835967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204655 + ... + 566382.

Almost surely, 2139452835968 is an apocalyptic number.

139452835968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

139452835968 is an abundant number, since it is smaller than the sum of its proper divisors (264393737292).

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

139452835968 is a wasteful number, since it uses less digits than its factorization.

139452835968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771214 (or 771199 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 139452835968 in words is "one hundred thirty-nine billion, four hundred fifty-two million, eight hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 157 192 288 314 384 471 576 628 942 1152 1256 1413 1884 2512 2826 3768 5024 5652 7536 10048 11304 15072 20096 22608 30144 45216 60288 90432 180864 771037 1542074 2313111 3084148 4626222 6168296 6939333 9252444 12336592 13878666 18504888 24673184 27757332 37009776 49346368 55514664 74019552 98692736 111029328 121052809 148039104 222058656 242105618 296078208 363158427 444117312 484211236 726316854 888234624 968422472 1089475281 1452633708 1936844944 2178950562 2905267416 3873689888 4357901124 5810534832 7747379776 8715802248 11621069664 15494759552 17431604496 23242139328 34863208992 46484278656 69726417984 139452835968