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60106470400 = 2105223313789
BaseRepresentation
bin110111111110100111…
…111111010000000000
312202010220221001200101
4313332213333100000
51441044224023100
643340150132144
74225331366014
oct677647772000
9182126831611
1060106470400
1123544598929
12b795651054
13588b827b22
142ca2a8a544
15186bc8486a
hexdfe9ff400

60106470400 has 528 divisors, whose sum is σ = 166673617920. Its totient is φ = 21410611200.

The previous prime is 60106470367. The next prime is 60106470401. The reversal of 60106470400 is 407460106.

It is a super-2 number, since 2×601064704002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60106470401) 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, 675353556 + ... + 675353644.

Almost surely, 260106470400 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 60106470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83336808960).

60106470400 is an abundant number, since it is smaller than the sum of its proper divisors (106567147520).

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

60106470400 is a wasteful number, since it uses less digits than its factorization.

60106470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 60106470400 in words is "sixty billion, one hundred six million, four hundred seventy thousand, four hundred".