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196046107155360 = 253557111093671637
BaseRepresentation
bin101100100100110110001010…
…100100111001101110100000
3221201010211021021200112100000
4230210312022210321232200
5201144004411412432420
61532542201023500000
756202602202544020
oct5444661244715640
9851124237615300
10196046107155360
1157514761639a60
1219ba3070757600
1385510b788c0c7
14365a979dd5a80
15179e920d1d690
hexb24d8a939ba0

196046107155360 has 2304 divisors, whose sum is σ = 875827984711680. Its totient is φ = 40228550000640.

The previous prime is 196046107155359. The next prime is 196046107155419. The reversal of 196046107155360 is 63551701640691.

196046107155360 is a `hidden beast` number, since 1 + 9 + 6 + 0 + 4 + 6 + 10 + 71 + 553 + 6 + 0 = 666.

It is a super-2 number, since 2×1960461071553602 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 196046107155297 and 196046107155306.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 119759380462 + ... + 119759382098.

It is an arithmetic number, because the mean of its divisors is an integer number (380133673920).

Almost surely, 2196046107155360 is an apocalyptic number.

196046107155360 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 196046107155360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437913992355840).

196046107155360 is an abundant number, since it is smaller than the sum of its proper divisors (679781877556320).

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

196046107155360 is a wasteful number, since it uses less digits than its factorization.

196046107155360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 196046107155360 in words is "one hundred ninety-six trillion, forty-six billion, one hundred seven million, one hundred fifty-five thousand, three hundred sixty".