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215480001639420 = 223557312414991699
BaseRepresentation
bin110000111111101001011000…
…111101000011001111111100
31001020221200112210202011200000
4300333221120331003033330
5211220411020404430140
62042142051324034300
763246626213235450
oct6077513075031774
91036850483664600
10215480001639420
1162727612411aa1
1220201574692990
1393308a53a6a6b
143b2d405742660
1519da1e17e1a30
hexc3fa58f433fc

215480001639420 has 1152 divisors, whose sum is σ = 805053849600000. Its totient is φ = 47343000268800.

The previous prime is 215480001639379. The next prime is 215480001639481. The reversal of 215480001639420 is 24936100084512.

215480001639420 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 8 + 0 + 0 + 0 + 1 + 639 + 4 + 2 + 0 = 666.

It is a super-2 number, since 2×2154800016394202 (a number of 29 digits) contains 22 as substring.

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, 126827545731 + ... + 126827547429.

Almost surely, 2215480001639420 is an apocalyptic number.

215480001639420 is a gapful number since it is divisible by the number (20) 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 215480001639420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402526924800000).

215480001639420 is an abundant number, since it is smaller than the sum of its proper divisors (589573847960580).

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

215480001639420 is a wasteful number, since it uses less digits than its factorization.

215480001639420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 215480001639420 in words is "two hundred fifteen trillion, four hundred eighty billion, one million, six hundred thirty-nine thousand, four hundred twenty".