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1097918369856 = 2631074112
BaseRepresentation
bin11111111101000010000…
…10001101000001000000
310212221220211010000000000
433332201002031001000
5120442014100313411
62200213213000000
7142215304110000
oct17764102150100
93787824100000
101097918369856
1139369632a500
1215894a783000
137c6c174c869
143b1d4c40000
151d85cd66956
hexffa108d040

1097918369856 has 1155 divisors, whose sum is σ = 4190538406943. Its totient is φ = 285173602560.

The previous prime is 1097918369843. The next prime is 1097918369869. The reversal of 1097918369856 is 6589638197901.

The square root of 1097918369856 is 1047816.

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

1097918369856 is a `hidden beast` number, since 10 + 97 + 91 + 8 + 369 + 85 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1097918369843) and next prime (1097918369869).

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 164 ways as a sum of consecutive naturals, for example, 99810760891 + ... + 99810760901.

Almost surely, 21097918369856 is an apocalyptic number.

1097918369856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1097918369856 is the 1047816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1097918369856

1097918369856 is an abundant number, since it is smaller than the sum of its proper divisors (3092620037087).

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

1097918369856 is an frugal number, since it uses more digits than its factorization.

1097918369856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 1097918369856 in words is "one trillion, ninety-seven billion, nine hundred eighteen million, three hundred sixty-nine thousand, eight hundred fifty-six".