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57607100980 = 2251113231151331
BaseRepresentation
bin110101101001101001…
…101001101000110100
312111200201220221101121
4311221221221220310
51420434404212410
642244144033324
74106362164502
oct655151515064
9174621827347
1057607100980
1122481785670
12b1b8602844
135580a89700
142b06b61672
1517726309da
hexd69a69a34

57607100980 has 288 divisors, whose sum is σ = 148940660736. Its totient is φ = 18532800000.

The previous prime is 57607100921. The next prime is 57607101001. The reversal of 57607100980 is 8900170675.

57607100980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174039415 + ... + 174039745.

It is an arithmetic number, because the mean of its divisors is an integer number (517155072).

Almost surely, 257607100980 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 57607100980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74470330368).

57607100980 is an abundant number, since it is smaller than the sum of its proper divisors (91333559756).

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

57607100980 is a wasteful number, since it uses less digits than its factorization.

57607100980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The spelling of 57607100980 in words is "fifty-seven billion, six hundred seven million, one hundred thousand, nine hundred eighty".