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9961373136 = 24311131451249
BaseRepresentation
bin10010100011011111…
…00111110111010000
3221201020002012000210
421101233213313100
5130400102420021
64324242444120
7501565163121
oct112157476720
927636065023
109961373136
114251a32090
121b20063640
13c299b4940
146a6d8a048
153d47cce76
hex251be7dd0

9961373136 has 80 divisors (see below), whose sum is σ = 30232440000. Its totient is φ = 2786396160.

The previous prime is 9961373111. The next prime is 9961373153. The reversal of 9961373136 is 6313731699.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 718761 + ... + 732488.

It is an arithmetic number, because the mean of its divisors is an integer number (377905500).

Almost surely, 29961373136 is an apocalyptic number.

It is an amenable number.

9961373136 is an abundant number, since it is smaller than the sum of its proper divisors (20271066864).

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

9961373136 is a wasteful number, since it uses less digits than its factorization.

9961373136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451284 (or 1451278 counting only the distinct ones).

The product of its digits is 551124, while the sum is 48.

The square root of 9961373136 is about 99806.6788145964. The cubic root of 9961373136 is about 2151.6571421651.

The spelling of 9961373136 in words is "nine billion, nine hundred sixty-one million, three hundred seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 1451249 2902498 4353747 5804996 8707494 11609992 15963739 17414988 18866237 23219984 31927478 34829976 37732474 47891217 56598711 63854956 69659952 75464948 95782434 113197422 127709912 150929896 191564868 207528607 226394844 255419824 301859792 383129736 415057214 452789688 622585821 766259472 830114428 905579376 1245171642 1660228856 2490343284 3320457712 4980686568 9961373136