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10740197146176 = 263423219792
BaseRepresentation
bin1001110001001010010110…
…1000101011111001000000
31102000202022210202020210000
42130102211220223321000
52401431410432134201
634501551202440000
72155645045311651
oct234224550537100
942022283666700
1010740197146176
11347098a324583
121255632363000
135cba47473054
14291b84c7d528
1513959ce75d86
hex9c4a5a2be40

10740197146176 has 315 divisors, whose sum is σ = 33298549655371. Its totient is φ = 3422680310016.

The previous prime is 10740197146123. The next prime is 10740197146207. The reversal of 10740197146176 is 67164179104701.

The square root of 10740197146176 is 3277224.

It is a perfect power (a square), and thus also a powerful number.

10740197146176 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 0 + 1 + 9 + 7 + 14 + 617 + 6 = 666.

It is a super-2 number, since 2×107401971461762 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5427081955 + ... + 5427083933.

Almost surely, 210740197146176 is an apocalyptic number.

10740197146176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10740197146176 is the 3277224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10740197146176

10740197146176 is an abundant number, since it is smaller than the sum of its proper divisors (22558352509195).

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

10740197146176 is an frugal number, since it uses more digits than its factorization.

10740197146176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 10740197146176 in words is "ten trillion, seven hundred forty billion, one hundred ninety-seven million, one hundred forty-six thousand, one hundred seventy-six".