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27969434496 = 2732179135637
BaseRepresentation
bin11010000011000110…
…111011001110000000
32200012020102111011100
4122003012323032000
5424240133400441
620503214014400
72010052161543
oct320306731600
980166374140
1027969434496
1110953020123
125506aa7400
1328397a8553
1414d48b485a
15ada729cb6
hex6831bb380

27969434496 has 96 divisors (see below), whose sum is σ = 80935194600. Its totient is φ = 9270991872.

The previous prime is 27969434491. The next prime is 27969434543. The reversal of 27969434496 is 69443496972.

27969434496 is a `hidden beast` number, since 27 + 9 + 6 + 94 + 34 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27969434491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138390 + ... + 274026.

Almost surely, 227969434496 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 27969434496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40467597300).

27969434496 is an abundant number, since it is smaller than the sum of its proper divisors (52965760104).

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

27969434496 is a wasteful number, since it uses less digits than its factorization.

27969434496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135836 (or 135821 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 27969434496 in words is "twenty-seven billion, nine hundred sixty-nine million, four hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 179 192 288 358 384 537 576 716 1074 1152 1432 1611 2148 2864 3222 4296 5728 6444 8592 11456 12888 17184 22912 25776 34368 51552 68736 103104 135637 206208 271274 406911 542548 813822 1085096 1220733 1627644 2170192 2441466 3255288 4340384 4882932 6510576 8680768 9765864 13021152 17361536 19531728 24279023 26042304 39063456 48558046 52084608 72837069 78126912 97116092 145674138 156253824 194232184 218511207 291348276 388464368 437022414 582696552 776928736 874044828 1165393104 1553857472 1748089656 2330786208 3107714944 3496179312 4661572416 6992358624 9323144832 13984717248 27969434496