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71952194368 = 2631259113997
BaseRepresentation
bin100001100000010101…
…1110101101101000000
320212201110202012002201
41003000223311231000
52134324230204433
653015425122544
75125020363265
oct1030053655500
9225643665081
1071952194368
112857315764a
1211b40789454
136a28a24352
1436a7dc926c
151d11bcda7d
hex10c0af5b40

71952194368 has 56 divisors (see below), whose sum is σ = 147453364224. Its totient is φ = 34799654400.

The previous prime is 71952194359. The next prime is 71952194389. The reversal of 71952194368 is 86349125917.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5133546 + ... + 5147542.

Almost surely, 271952194368 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 71952194368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73726682112).

71952194368 is an abundant number, since it is smaller than the sum of its proper divisors (75501169856).

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

71952194368 is a wasteful number, since it uses less digits than its factorization.

71952194368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16631 (or 16621 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 55.

The spelling of 71952194368 in words is "seventy-one billion, nine hundred fifty-two million, one hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1984 2591 5182 10364 13997 20728 27994 41456 55988 80321 82912 111976 160642 165824 223952 321284 433907 447904 642568 867814 895808 1285136 1735628 2570272 3471256 5140544 6942512 13885024 27770048 36266227 72532454 145064908 290129816 580259632 1124253037 1160519264 2248506074 2321038528 4497012148 8994024296 17988048592 35976097184 71952194368