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16561507201440 = 2535191815954737
BaseRepresentation
bin1111000100000000011011…
…0000001111000110100000
32011122021010220122002101220
43301000012300033012200
54132320431320421230
655120130144055040
73326346405333135
oct361000660170640
964567126562356
1016561507201440
11530577206a753
121a35893304480
13931988407326
1441381cc5058c
151dac0972ed10
hexf1006c0f1a0

16561507201440 has 96 divisors (see below), whose sum is σ = 54914471277120. Its totient is φ = 4183959711744.

The previous prime is 16561507201433. The next prime is 16561507201471. The reversal of 16561507201440 is 4410270516561.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 16561507201392 and 16561507201401.

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, 907968249 + ... + 907986488.

It is an arithmetic number, because the mean of its divisors is an integer number (572025742470).

Almost surely, 216561507201440 is an apocalyptic number.

16561507201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16561507201440 is an abundant number, since it is smaller than the sum of its proper divisors (38352964075680).

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

16561507201440 is a wasteful number, since it uses less digits than its factorization.

16561507201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815954774 (or 1815954766 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 16561507201440 in words is "sixteen trillion, five hundred sixty-one billion, five hundred seven million, two hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 1815954737 3631909474 5447864211 7263818948 9079773685 10895728422 14527637896 18159547370 21791456844 27239321055 29055275792 34503140003 36319094740 43582913688 54478642110 58110551584 69006280006 72638189480 87165827376 103509420009 108957284220 138012560012 145276378960 172515700015 174331654752 207018840018 217914568440 276025120024 290552757920 345031400030 414037680036 435829136880 517547100045 552050240048 690062800060 828075360072 871658273760 1035094200090 1104100480096 1380125600120 1656150720144 2070188400180 2760251200240 3312301440288 4140376800360 5520502400480 8280753600720 16561507201440