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16145521477160 = 2351741214124577
BaseRepresentation
bin1110101011110010110000…
…0100101000011000101000
32010011111102011002210012212
43222330230010220120220
54104012011444232120
654201052234224252
73254322034120025
oct352745404503050
963144364083185
1016145521477160
115165305a63079
12198913a585088
13901692c7084a
143db63999454c
151ceeae7106c5
hexeaf2c128628

16145521477160 has 96 divisors (see below), whose sum is σ = 39425369588280. Its totient is φ = 5930061987840.

The previous prime is 16145521477097. The next prime is 16145521477207. The reversal of 16145521477160 is 6177412554161.

It can be written as a sum of positive squares in 12 ways, for example, as 1185629165956 + 14959892311204 = 1088866^2 + 3867802^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16145521477099 and 16145521477108.

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 23 ways as a sum of consecutive naturals, for example, 5919209 + ... + 8205368.

Almost surely, 216145521477160 is an apocalyptic number.

16145521477160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16145521477160 is an abundant number, since it is smaller than the sum of its proper divisors (23279848111120).

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

16145521477160 is a wasteful number, since it uses less digits than its factorization.

16145521477160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14124687 (or 14124642 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 50.

The spelling of 16145521477160 in words is "sixteen trillion, one hundred forty-five billion, five hundred twenty-one million, four hundred seventy-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 410 680 697 820 1394 1640 1681 2788 3362 3485 5576 6724 6970 8405 13448 13940 16810 27880 28577 33620 57154 67240 114308 142885 228616 285770 571540 1143080 14124577 28249154 56498308 70622885 112996616 141245770 240117809 282491540 480235618 564983080 579107657 960471236 1158215314 1200589045 1920942472 2316430628 2401178090 2895538285 4632861256 4802356180 5791076570 9604712360 9844830169 11582153140 19689660338 23164306280 23743413937 39379320676 47486827874 49224150845 78758641352 94973655748 98448301690 118717069685 189947311496 196896603380 237434139370 393793206760 403638036929 474868278740 807276073858 949736557480 1614552147716 2018190184645 3229104295432 4036380369290 8072760738580 16145521477160