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10508480271720 = 23325291377347149
BaseRepresentation
bin1001100011101011001000…
…1110111101010101101000
31101012121020001120101220200
42120322302032331111220
52334132331422143340
634203310145552200
72133132636343134
oct230726216752550
941177201511820
1010508480271720
113391692181142
121218744945660
135b2c3a184952
142848827183c4
1513353a2de330
hex98eb23bd568

10508480271720 has 192 divisors, whose sum is σ = 35588125170000. Its totient is φ = 2685882200064.

The previous prime is 10508480271697. The next prime is 10508480271727. The reversal of 10508480271720 is 2717208480501.

10508480271720 is a `hidden beast` number, since 1 + 0 + 508 + 4 + 8 + 0 + 2 + 71 + 72 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3531370089636 + 6977110182084 = 1879194^2 + 2641422^2 .

It is a super-2 number, since 2×105084802717202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10508480271727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2243295 + ... + 5103854.

Almost surely, 210508480271720 is an apocalyptic number.

10508480271720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10508480271720 is an abundant number, since it is smaller than the sum of its proper divisors (25079644898280).

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

10508480271720 is a wasteful number, since it uses less digits than its factorization.

10508480271720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7347332 (or 7347325 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 10508480271720 in words is "ten trillion, five hundred eight billion, four hundred eighty million, two hundred seventy-one thousand, seven hundred twenty".