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2139037632000 = 293653192127
BaseRepresentation
bin11111001000001000100…
…101000000011000000000
321120111020012200101000000
4133020020211000120000
5240021222113211000
64314354344000000
7310353226606533
oct37101045003000
97514205611000
102139037632000
11755184a84675
122a6687460000
13126930933c39
147575c368a1a
153a9944a3000
hex1f208940600

2139037632000 has 1680 divisors, whose sum is σ = 8506586829312. Its totient is φ = 536133427200.

The previous prime is 2139037631977. The next prime is 2139037632097. The reversal of 2139037632000 is 2367309312.

2139037632000 is a `hidden beast` number, since 2 + 1 + 390 + 3 + 7 + 63 + 200 + 0 = 666.

It is a super-2 number, since 2×21390376320002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 16842815937 + ... + 16842816063.

Almost surely, 22139037632000 is an apocalyptic number.

2139037632000 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 2139037632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253293414656).

2139037632000 is an abundant number, since it is smaller than the sum of its proper divisors (6367549197312).

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

2139037632000 is an frugal number, since it uses more digits than its factorization.

2139037632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 2139037632000 in words is "two trillion, one hundred thirty-nine billion, thirty-seven million, six hundred thirty-two thousand".