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61142631256 = 237171923475359
BaseRepresentation
bin111000111100011000…
…101000001101011000
312211211010122111011101
4320330120220031120
52000210003200011
644031042441144
74263112535110
oct707430501530
9184733574141
1061142631256
1123a2646a913
12ba246631b4
1359c53b6265
142d6052c040
1518ccc0a2c1
hexe3c628358

61142631256 has 512 divisors, whose sum is σ = 161243136000. Its totient is φ = 21096751104.

The previous prime is 61142631223. The next prime is 61142631283. The reversal of 61142631256 is 65213624116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1036315755 + ... + 1036315813.

It is an arithmetic number, because the mean of its divisors is an integer number (314928000).

Almost surely, 261142631256 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 61142631256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80621568000).

61142631256 is an abundant number, since it is smaller than the sum of its proper divisors (100100504744).

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

61142631256 is a wasteful number, since it uses less digits than its factorization.

61142631256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 227 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The spelling of 61142631256 in words is "sixty-one billion, one hundred forty-two million, six hundred thirty-one thousand, two hundred fifty-six".