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16922294334 = 2341116375801
BaseRepresentation
bin11111100001010010…
…11011100000111110
31121200100021121210000
433300221123200332
5234124101404314
611435103255130
71136231062041
oct176051334076
947610247700
1016922294334
1171a4215220
1233432aa4a6
131798b8741a
14b67652c58
15690978209
hex3f0a5b83e

16922294334 has 80 divisors (see below), whose sum is σ = 41398012656. Its totient is φ = 5123952000.

The previous prime is 16922294329. The next prime is 16922294341. The reversal of 16922294334 is 43349222961.

16922294334 is a `hidden beast` number, since 1 + 6 + 9 + 22 + 294 + 334 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16922294334.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2914234 + ... + 2920034.

Almost surely, 216922294334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16922294334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20699006328).

16922294334 is an abundant number, since it is smaller than the sum of its proper divisors (24475718322).

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

16922294334 is a wasteful number, since it uses less digits than its factorization.

16922294334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7463 (or 7454 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

It can be divided in two parts, 169 and 22294334, that added together give a triangular number (22294503 = T6677).

The spelling of 16922294334 in words is "sixteen billion, nine hundred twenty-two million, two hundred ninety-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1637 1782 3274 4911 5801 9822 11602 14733 17403 18007 29466 34806 36014 44199 52209 54021 63811 88398 104418 108042 127622 132597 156627 162063 191433 265194 313254 324126 382866 469881 486189 574299 939762 972378 1148598 1458567 1722897 2917134 3445794 5168691 9496237 10337382 18992474 28488711 56977422 85466133 104458607 170932266 208917214 256398399 313375821 512796798 626751642 769195197 940127463 1538390394 1880254926 2820382389 5640764778 8461147167 16922294334