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16434953150 = 25271117214771
BaseRepresentation
bin11110100111001100…
…10111101110111110
31120102101021010100112
433103212113232332
5232124322000100
611314454030022
71121162540210
oct172346275676
946371233315
1016434953150
116a74114610
123228048312
13171bc15165
14b1ca345b0
15662cb0b35
hex3d3997bbe

16434953150 has 144 divisors (see below), whose sum is σ = 40488515712. Its totient is φ = 4820928000.

The previous prime is 16434953141. The next prime is 16434953177. The reversal of 16434953150 is 5135943461.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16434953098 and 16434953107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1105265 + ... + 1120035.

It is an arithmetic number, because the mean of its divisors is an integer number (281170248).

Almost surely, 216434953150 is an apocalyptic number.

16434953150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16434953150 is an abundant number, since it is smaller than the sum of its proper divisors (24053562562).

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

16434953150 is a wasteful number, since it uses less digits than its factorization.

16434953150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14835 (or 14813 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 16434953150 in words is "sixteen billion, four hundred thirty-four million, nine hundred fifty-three thousand, one hundred fifty".

Divisors: 1 2 5 7 10 11 14 17 22 25 34 35 50 55 70 77 85 110 119 154 170 175 187 238 275 289 350 374 385 425 550 578 595 770 850 935 1190 1309 1445 1870 1925 2023 2618 2890 2975 3179 3850 4046 4675 5950 6358 6545 7225 9350 10115 13090 14450 14771 15895 20230 22253 29542 31790 32725 44506 50575 65450 73855 79475 101150 103397 111265 147710 158950 162481 206794 222530 251107 324962 369275 502214 516985 556325 738550 812405 1033970 1112650 1137367 1255535 1624810 1757749 2274734 2511070 2584925 2762177 3515498 4062025 4268819 5169850 5524354 5686835 6277675 8124050 8537638 8788745 11373670 12555350 13810885 17577490 19335239 21344095 27621770 28434175 29881733 38670478 42688190 43943725 46957009 56868350 59763466 69054425 87887450 93914018 96676195 106720475 138108850 149408665 193352390 213440950 234785045 298817330 328699063 469570090 483380975 657398126 747043325 966761950 1173925225 1494086650 1643495315 2347850450 3286990630 8217476575 16434953150