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10630434816 = 212341792
BaseRepresentation
bin10011110011001111…
…11001000000000000
31000102212001001010000
421321213321000000
5133232342403231
64514503040000
7524301130221
oct117147710000
930385031100
1010630434816
114565670021
122088140000
1310054b0c21
1472bb8d248
154233dd6e6
hex2799f9000

10630434816 has 195 divisors, whose sum is σ = 31934587531. Its totient is φ = 3523682304.

The previous prime is 10630434809. The next prime is 10630434823. The reversal of 10630434816 is 61843403601.

It is a happy number.

The square root of 10630434816 is 103104.

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

10630434816 is a `hidden beast` number, since 1 + 0 + 6 + 304 + 348 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10630434809) and next prime (10630434823).

It is a super-2 number, since 2×106304348162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 59387815 + ... + 59387993.

Almost surely, 210630434816 is an apocalyptic number.

10630434816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10630434816 is the 103104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10630434816

10630434816 is an abundant number, since it is smaller than the sum of its proper divisors (21304152715).

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

10630434816 is an frugal number, since it uses more digits than its factorization.

10630434816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 10630434816 by its sum of digits (36), we get a square (382695653376 = 6186242).

10630434816 divided by its sum of digits (36) gives a square (295289856 = 171842).

The spelling of 10630434816 in words is "ten billion, six hundred thirty million, four hundred thirty-four thousand, eight hundred sixteen".