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196221680534880 = 253357112132343297
BaseRepresentation
bin101100100111011001101011…
…100100001100010101100000
3221201202121110021222022212000
4230213121223210030111200
5201204344000204104010
61533154555014404000
756221356110624040
oct5447315344142540
9851677407868760
10196221680534880
115758216919a700
121a0110ab960600
1385648183ac9a0
143665273d47720
1517a4299ad07c0
hexb2766b90c560

196221680534880 has 6912 divisors, whose sum is σ = 1002788595486720. Its totient is φ = 34800807444480.

The previous prime is 196221680534849. The next prime is 196221680534917. The reversal of 196221680534880 is 88435086122691.

196221680534880 is a `hidden beast` number, since 1 + 9 + 6 + 2 + 2 + 16 + 8 + 0 + 534 + 8 + 80 = 666.

It is a super-2 number, since 2×1962216805348802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 2022903922992 + ... + 2022903923088.

It is an arithmetic number, because the mean of its divisors is an integer number (145079368560).

Almost surely, 2196221680534880 is an apocalyptic number.

196221680534880 is a gapful number since it is divisible by the number (10) 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 196221680534880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501394297743360).

196221680534880 is an abundant number, since it is smaller than the sum of its proper divisors (806566914951840).

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

196221680534880 is a wasteful number, since it uses less digits than its factorization.

196221680534880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 196221680534880 in words is "one hundred ninety-six trillion, two hundred twenty-one billion, six hundred eighty million, five hundred thirty-four thousand, eight hundred eighty".