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61155482119680 = 2935136917571171
BaseRepresentation
bin11011110011110110111101…
…10010011010111000000000
322000112101222200211222202110
431321323132302122320000
531003432411410312210
6334022235102215320
715611223600050064
oct1571733662327000
9260471880758673
1061155482119680
1118538992377873
126a38413284540
132817c250b9780
141115d26651aa4
15710bdb335420
hex379edec9ae00

61155482119680 has 640 divisors, whose sum is σ = 211308916363776. Its totient is φ = 14999194828800.

The previous prime is 61155482119679. The next prime is 61155482119727. The reversal of 61155482119680 is 8691128455116.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 61155482119680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52225005495 + ... + 52225006665.

Almost surely, 261155482119680 is an apocalyptic number.

61155482119680 is a gapful number since it is divisible by the number (60) 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 61155482119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105654458181888).

61155482119680 is an abundant number, since it is smaller than the sum of its proper divisors (150153434244096).

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

61155482119680 is a wasteful number, since it uses less digits than its factorization.

61155482119680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 57.

The spelling of 61155482119680 in words is "sixty-one trillion, one hundred fifty-five billion, four hundred eighty-two million, one hundred nineteen thousand, six hundred eighty".