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61023186432 = 293513291301
BaseRepresentation
bin111000110101010000…
…111110111000000000
312211111210220001200000
4320311100332320000
51444433413431212
644011134400000
74260132345345
oct706520767000
9184453801600
1061023186432
1123974aa818a
12b9b0660000
1359a6724c50
142d4c7187cc
1518c24b41dc
hexe3543ee00

61023186432 has 480 divisors, whose sum is σ = 203627904480. Its totient is φ = 18114969600.

The previous prime is 61023186421. The next prime is 61023186439. The reversal of 61023186432 is 23468132016.

61023186432 is a `hidden beast` number, since 6 + 1 + 0 + 2 + 3 + 1 + 8 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61023186439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46904182 + ... + 46905482.

It is an arithmetic number, because the mean of its divisors is an integer number (424224801).

Almost surely, 261023186432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61023186432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101813952240).

61023186432 is an abundant number, since it is smaller than the sum of its proper divisors (142604718048).

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

61023186432 is a wasteful number, since it uses less digits than its factorization.

61023186432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 61023186432 in words is "sixty-one billion, twenty-three million, one hundred eighty-six thousand, four hundred thirty-two".