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61015386432 = 26373112131931
BaseRepresentation
bin111000110100110011…
…001110100101000000
312211111021012210002010
4320310303032211000
51444424414331212
644010255252520
74260006141000
oct706463164500
9184437183063
1061015386432
112397065aa00
12b9a9b1a140
1359a4c23870
142d4b688000
1518c197303c
hexe34cce940

61015386432 has 1344 divisors, whose sum is σ = 242149376000. Its totient is φ = 13412044800.

The previous prime is 61015386431. The next prime is 61015386433. The reversal of 61015386432 is 23468351016.

It is an interprime number because it is at equal distance from previous prime (61015386431) and next prime (61015386433).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61015386431) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1968238257 + ... + 1968238287.

Almost surely, 261015386432 is an apocalyptic number.

61015386432 is a gapful number since it is divisible by the number (62) 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 61015386432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121074688000).

61015386432 is an abundant number, since it is smaller than the sum of its proper divisors (181133989568).

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

61015386432 is a wasteful number, since it uses less digits than its factorization.

61015386432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 61015386432 in words is "sixty-one billion, fifteen million, three hundred eighty-six thousand, four hundred thirty-two".