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96427457460 = 2232517192957191
BaseRepresentation
bin101100111001110000…
…1100011101110110100
3100012220012021101012100
41121303201203232310
53034440412114320
6112144223022100
76652363602405
oct1316341435664
9305805241170
1096427457460
1137992871004
121683143a930
139129624249
14494a7bb9ac
15279579d790
hex1673863bb4

96427457460 has 288 divisors, whose sum is σ = 337249785600. Its totient is φ = 22136647680.

The previous prime is 96427457459. The next prime is 96427457501. The reversal of 96427457460 is 6475472469.

96427457460 is a `hidden beast` number, since 9 + 6 + 4 + 2 + 7 + 4 + 574 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 96427457397 and 96427457406.

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, 1657465 + ... + 1714655.

It is an arithmetic number, because the mean of its divisors is an integer number (1171006200).

Almost surely, 296427457460 is an apocalyptic number.

96427457460 is a gapful number since it is divisible by the number (90) 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 96427457460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168624892800).

96427457460 is an abundant number, since it is smaller than the sum of its proper divisors (240822328140).

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

96427457460 is a wasteful number, since it uses less digits than its factorization.

96427457460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57271 (or 57266 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 96427457460 in words is "ninety-six billion, four hundred twenty-seven million, four hundred fifty-seven thousand, four hundred sixty".