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4555001364480 = 216335731979
BaseRepresentation
bin100001001001000101100…
…1111010000000000000000
3121010110020212200020002000
41002102023033100000000
51044112120322130410
613404312211224000
7650042115525000
oct102221317200000
917113225606060
104555001364480
1114a6846581296
126169588a8000
132706c4c01b98
1411a66b1cc000
157d7455a8dc0
hex4248b3d0000

4555001364480 has 2176 divisors, whose sum is σ = 20132505600000. Its totient is φ = 973860765696.

The previous prime is 4555001364469. The next prime is 4555001364493. The reversal of 4555001364480 is 844631005554.

4555001364480 is a `hidden beast` number, since 4 + 5 + 5 + 500 + 1 + 3 + 64 + 4 + 80 = 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 127 ways as a sum of consecutive naturals, for example, 57658245081 + ... + 57658245159.

Almost surely, 24555001364480 is an apocalyptic number.

4555001364480 is a gapful number since it is divisible by the number (40) 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 4555001364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10066252800000).

4555001364480 is an abundant number, since it is smaller than the sum of its proper divisors (15577504235520).

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

4555001364480 is an frugal number, since it uses more digits than its factorization.

4555001364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 4555001364480 in words is "four trillion, five hundred fifty-five billion, one million, three hundred sixty-four thousand, four hundred eighty".