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109490115672 = 233271847117619
BaseRepresentation
bin110010111111000011…
…1101001010001011000
3101110121112222011120100
41211332013221101120
53243213432200142
6122144333055400
710624160425140
oct1457607512130
9343545864510
10109490115672
1142486352503
1219278027560
13a42b993ac2
1454295b7920
152cac47ab4c
hex197e1e9458

109490115672 has 96 divisors (see below), whose sum is σ = 339084345600. Its totient is φ = 31265687232.

The previous prime is 109490115671. The next prime is 109490115739. The reversal of 109490115672 is 276511094901.

109490115672 is a `hidden beast` number, since 1 + 0 + 9 + 490 + 1 + 156 + 7 + 2 = 666.

It is a super-3 number, since 3×1094901156723 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109490115671) by changing a digit.

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, 872079 + ... + 989697.

It is an arithmetic number, because the mean of its divisors is an integer number (3532128600).

Almost surely, 2109490115672 is an apocalyptic number.

109490115672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109490115672 is an abundant number, since it is smaller than the sum of its proper divisors (229594229928).

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

109490115672 is a wasteful number, since it uses less digits than its factorization.

109490115672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119485 (or 119478 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 109490115672 in words is "one hundred nine billion, four hundred ninety million, one hundred fifteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1847 3694 5541 7388 11082 12929 14776 16623 22164 25858 33246 38787 44328 51716 66492 77574 103432 116361 117619 132984 155148 232722 235238 310296 352857 465444 470476 705714 823333 930888 940952 1058571 1411428 1646666 2117142 2469999 2822856 3293332 4234284 4939998 6586664 7409997 8468568 9879996 14819994 19759992 29639988 59279976 217242293 434484586 651726879 868969172 1303453758 1520696051 1737938344 1955180637 2606907516 3041392102 3910361274 4562088153 5213815032 6082784204 7820722548 9124176306 12165568408 13686264459 15641445096 18248352612 27372528918 36496705224 54745057836 109490115672