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60401427761070 = 23251123291133972039
BaseRepresentation
bin11011011101111010011011…
…01001010100011110101110
321220212022122100112122221200
431232331031221110132232
530404104111001323240
6332244011032310330
715502600454544234
oct1556751551243656
9256768570478850
1060401427761070
1118278113344530
12693624bb423a6
132791aa3c38166
1410cb632396954
156eb2a69c6930
hex36ef4da547ae

60401427761070 has 768 divisors, whose sum is σ = 187131841228800. Its totient is φ = 13363165347840.

The previous prime is 60401427761033. The next prime is 60401427761149. The reversal of 60401427761070 is 7016772410406.

60401427761070 is a `hidden beast` number, since 6 + 0 + 4 + 0 + 1 + 4 + 27 + 7 + 610 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29623063111 + ... + 29623065149.

It is an arithmetic number, because the mean of its divisors is an integer number (243661251600).

Almost surely, 260401427761070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60401427761070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93565920614400).

60401427761070 is an abundant number, since it is smaller than the sum of its proper divisors (126730413467730).

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

60401427761070 is a wasteful number, since it uses less digits than its factorization.

60401427761070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 60401427761070 in words is "sixty trillion, four hundred one billion, four hundred twenty-seven million, seven hundred sixty-one thousand, seventy".