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9813903552 = 2632113150779
BaseRepresentation
bin10010010001111010…
…00100100011000000
3221022221120221210100
421020331010203000
5130044324403202
64301454002400
7465124542465
oct111075044300
927287527710
109813903552
114186768aa2
121a9a7a6400
13c0529072b
1469155d66c
153c689d41c
hex248f448c0

9813903552 has 84 divisors (see below), whose sum is σ = 28378906920. Its totient is φ = 3242330112.

The previous prime is 9813903529. The next prime is 9813903577. The reversal of 9813903552 is 2553093189.

9813903552 is a `hidden beast` number, since 9 + 8 + 1 + 3 + 90 + 3 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9813903498 and 9813903507.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10302 + ... + 140477.

It is an arithmetic number, because the mean of its divisors is an integer number (337844130).

Almost surely, 29813903552 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 9813903552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14189453460).

9813903552 is an abundant number, since it is smaller than the sum of its proper divisors (18565003368).

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

9813903552 is a wasteful number, since it uses less digits than its factorization.

9813903552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150910 (or 150897 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 9813903552 is about 99065.1480188669. The cubic root of 9813903552 is about 2140.9864983282.

The spelling of 9813903552 in words is "nine billion, eight hundred thirteen million, nine hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 144 192 226 288 339 452 576 678 904 1017 1356 1808 2034 2712 3616 4068 5424 7232 8136 10848 16272 21696 32544 65088 150779 301558 452337 603116 904674 1206232 1357011 1809348 2412464 2714022 3618696 4824928 5428044 7237392 9649856 10856088 14474784 17038027 21712176 28949568 34076054 43424352 51114081 68152108 86848704 102228162 136304216 153342243 204456324 272608432 306684486 408912648 545216864 613368972 817825296 1090433728 1226737944 1635650592 2453475888 3271301184 4906951776 9813903552