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2919334496 = 251319433853
BaseRepresentation
bin1010111000000001…
…1000001001100000
321112110020120001212
42232000120021200
521434322200441
61201403245252
7132225635201
oct25600301140
97473216055
102919334496
111268985241
12695819828
13376a80280
141d9a095a8
1512145ceeb
hexae018260

2919334496 has 96 divisors (see below), whose sum is σ = 6538019040. Its totient is φ = 1272029184.

The previous prime is 2919334489. The next prime is 2919334541. The reversal of 2919334496 is 6944339192.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3422006 + ... + 3422858.

It is an arithmetic number, because the mean of its divisors is an integer number (68104365).

Almost surely, 22919334496 is an apocalyptic number.

2919334496 is a gapful number since it is divisible by the number (26) 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 2919334496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269009520).

2919334496 is an abundant number, since it is smaller than the sum of its proper divisors (3618684544).

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

2919334496 is a wasteful number, since it uses less digits than its factorization.

2919334496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1320 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 50.

The square root of 2919334496 is about 54030.8661414936. The cubic root of 2919334496 is about 1429.2053054261.

The spelling of 2919334496 in words is "two billion, nine hundred nineteen million, three hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 433 494 608 853 866 988 1706 1732 1976 3412 3464 3952 5629 6824 6928 7904 8227 11089 11258 13648 13856 16207 16454 22178 22516 27296 32414 32908 44356 45032 64828 65816 88712 90064 106951 129656 131632 177424 180128 210691 213902 259312 263264 354848 369349 421382 427804 518624 738698 842764 855608 1477396 1685528 1711216 2954792 3371056 3422432 4801537 5909584 6742112 7017631 9603074 11819168 14035262 19206148 28070524 38412296 56141048 76824592 91229203 112282096 153649184 182458406 224564192 364916812 729833624 1459667248 2919334496