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4434055164 = 22327112145417
BaseRepresentation
bin1000010000100101…
…00100111111111100
3102110000110100012100
410020102210333330
533040104231124
62011553105100
7214610563350
oct41022447774
912400410170
104434055164
1119759aa300
12a38b58190
135588279a6
14300c61460
151ae4141c9
hex1084a4ffc

4434055164 has 108 divisors (see below), whose sum is σ = 14079952432. Its totient is φ = 1151694720.

The previous prime is 4434055163. The next prime is 4434055177. The reversal of 4434055164 is 4615504344.

4434055164 is a `hidden beast` number, since 4 + 4 + 3 + 40 + 551 + 64 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434055163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42217 + ... + 103200.

Almost surely, 24434055164 is an apocalyptic number.

4434055164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4434055164 is an abundant number, since it is smaller than the sum of its proper divisors (9645897268).

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

4434055164 is a wasteful number, since it uses less digits than its factorization.

4434055164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145456 (or 145440 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4434055164 is about 66588.7014740489. The cubic root of 4434055164 is about 1642.8592749102.

The spelling of 4434055164 in words is "four billion, four hundred thirty-four million, fifty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 121 126 132 154 198 231 242 252 308 363 396 462 484 693 726 847 924 1089 1386 1452 1694 2178 2541 2772 3388 4356 5082 7623 10164 15246 30492 145417 290834 436251 581668 872502 1017919 1308753 1599587 1745004 2035838 2617506 3053757 3199174 4071676 4798761 5235012 6107514 6398348 9161271 9597522 11197109 12215028 14396283 17595457 18322542 19195044 22394218 28792566 33591327 35190914 36645084 44788436 52786371 57585132 67182654 70381828 100773981 105572742 123168199 134365308 158359113 201547962 211145484 246336398 316718226 369504597 403095924 492672796 633436452 739009194 1108513791 1478018388 2217027582 4434055164