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113960914672 = 241117377910079
BaseRepresentation
bin110101000100010011…
…0011000111011110000
3101220011010120021211111
41222020212120323300
53331342443232142
6124204121523104
711143025535433
oct1521046307360
9356133507744
10113960914672
114436aa68a10
121a105343494
13a991cb51b7
14573128181a
152e6ebebe17
hex1a88998ef0

113960914672 has 80 divisors (see below), whose sum is σ = 255133670400. Its totient is φ = 48735595520.

The previous prime is 113960914657. The next prime is 113960914673. The reversal of 113960914672 is 276419069311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113960914673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11301729 + ... + 11311807.

It is an arithmetic number, because the mean of its divisors is an integer number (3189170880).

Almost surely, 2113960914672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113960914672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127566835200).

113960914672 is an abundant number, since it is smaller than the sum of its proper divisors (141172755728).

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

113960914672 is a wasteful number, since it uses less digits than its factorization.

113960914672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13894 (or 13888 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The spelling of 113960914672 in words is "one hundred thirteen billion, nine hundred sixty million, nine hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2992 3779 7558 10079 15116 20158 30232 40316 41569 60464 64243 80632 83138 110869 128486 161264 166276 171343 221738 256972 332552 342686 443476 513944 665104 685372 706673 886952 1027888 1370744 1413346 1773904 1884773 2741488 2826692 3769546 5653384 7539092 11306768 15078184 30156368 38088541 76177082 152354164 304708328 418973951 609416656 647505197 837947902 1295010394 1675895804 2590020788 3351791608 5180041576 6703583216 7122557167 10360083152 14245114334 28490228668 56980457336 113960914672