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10196380889856 = 2832717313732423
BaseRepresentation
bin1001010001100000011110…
…1010010011001100000000
31100002202122022112002112100
42110120013222103030000
52314024142001433411
633404052553030400
72101443552354630
oct224300752231400
940082568462470
1010196380889856
1132812962141a7
1211881633b5400
1358c68c7361b5
142737166c86c0
1512a3707cd456
hex94607a93300

10196380889856 has 864 divisors, whose sum is σ = 37716111433728. Its totient is φ = 2581641953280.

The previous prime is 10196380889843. The next prime is 10196380889869. The reversal of 10196380889856 is 65898808369101.

10196380889856 is a `hidden beast` number, since 1 + 0 + 1 + 96 + 380 + 8 + 89 + 85 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10196380889843) and next prime (10196380889869).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 314463661 + ... + 314496083.

It is an arithmetic number, because the mean of its divisors is an integer number (43652906752).

Almost surely, 210196380889856 is an apocalyptic number.

10196380889856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10196380889856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18858055716864).

10196380889856 is an abundant number, since it is smaller than the sum of its proper divisors (27519730543872).

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

10196380889856 is a wasteful number, since it uses less digits than its factorization.

10196380889856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32537 (or 32520 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 72.

The spelling of 10196380889856 in words is "ten trillion, one hundred ninety-six billion, three hundred eighty million, eight hundred eighty-nine thousand, eight hundred fifty-six".