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1661461536 = 253719130127
BaseRepresentation
bin110001100000111…
…1110010000100000
311021210022222202110
41203001332100200
511400313232121
6432510515320
756113122120
oct14301762040
94253288673
101661461536
11782940709
123a4505b40
132062a5047
1411a932c80
159acded76
hex6307e420

1661461536 has 96 divisors (see below), whose sum is σ = 5246760960. Its totient is φ = 449715456.

The previous prime is 1661461499. The next prime is 1661461541. The reversal of 1661461536 is 6351641661.

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 = 1661461494 and 1661461503.

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, 52296 + ... + 77831.

It is an arithmetic number, because the mean of its divisors is an integer number (54653760).

Almost surely, 21661461536 is an apocalyptic number.

1661461536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1661461536 is an abundant number, since it is smaller than the sum of its proper divisors (3585299424).

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

1661461536 is a wasteful number, since it uses less digits than its factorization.

1661461536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130166 (or 130158 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 1661461536 is about 40761.0296238944. The cubic root of 1661461536 is about 1184.3955413911.

The spelling of 1661461536 in words is "one billion, six hundred sixty-one million, four hundred sixty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 130127 260254 390381 520508 780762 910889 1041016 1561524 1821778 2082032 2472413 2732667 3123048 3643556 4164064 4944826 5465334 6246096 7287112 7417239 9889652 10930668 12492192 14574224 14834478 17306891 19779304 21861336 29148448 29668956 34613782 39558608 43722672 51920673 59337912 69227564 79117216 87445344 103841346 118675824 138455128 207682692 237351648 276910256 415365384 553820512 830730768 1661461536