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2139917349024 = 2534713193173211
BaseRepresentation
bin11111001000111101000…
…000110111000010100000
321120120111112000121220000
4133020331000313002200
5240030022320132044
64315021531220000
7310414101230310
oct37107500670240
97516445017800
102139917349024
11755596613034
122a6891ba7600
13126a40c78460
1475803125440
153a9e6824d69
hex1f23d0370a0

2139917349024 has 1920 divisors, whose sum is σ = 8572184248320. Its totient is φ = 507915878400.

The previous prime is 2139917349007. The next prime is 2139917349071. The reversal of 2139917349024 is 4209437199312.

2139917349024 is a `hidden beast` number, since 2 + 139 + 9 + 17 + 3 + 490 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10141788279 + ... + 10141788489.

It is an arithmetic number, because the mean of its divisors is an integer number (4464679296).

Almost surely, 22139917349024 is an apocalyptic number.

2139917349024 is a gapful number since it is divisible by the number (24) 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 2139917349024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286092124160).

2139917349024 is an abundant number, since it is smaller than the sum of its proper divisors (6432266899296).

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

2139917349024 is a wasteful number, since it uses less digits than its factorization.

2139917349024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 2139917349024 in words is "two trillion, one hundred thirty-nine billion, nine hundred seventeen million, three hundred forty-nine thousand, twenty-four".