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9132379650 = 2325247538147
BaseRepresentation
bin10001000000101010…
…10000111000000010
3212120110011221202100
420200111100320002
5122200342122100
64110110331230
7442210642362
oct104025207002
925513157670
109132379650
113966a98aa9
12192a4b9b16
13b2701cc54
14628c349a2
15386b2a400
hex220550e02

9132379650 has 144 divisors (see below), whose sum is σ = 25533615744. Its totient is φ = 2338227840.

The previous prime is 9132379631. The next prime is 9132379681. The reversal of 9132379650 is 569732319.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 9132379596 and 9132379605.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1116877 + ... + 1125023.

It is an arithmetic number, because the mean of its divisors is an integer number (177316776).

Almost surely, 29132379650 is an apocalyptic number.

9132379650 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9132379650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12766807872).

9132379650 is an abundant number, since it is smaller than the sum of its proper divisors (16401236094).

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

9132379650 is a wasteful number, since it uses less digits than its factorization.

9132379650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8265 (or 8257 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 9132379650 is about 95563.4849197119. The cubic root of 9132379650 is about 2090.2327717056.

The spelling of 9132379650 in words is "nine billion, one hundred thirty-two million, three hundred seventy-nine thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 47 50 53 75 90 94 106 141 150 159 225 235 265 282 318 423 450 470 477 530 705 795 846 954 1175 1325 1410 1590 2115 2350 2385 2491 2650 3525 3975 4230 4770 4982 7050 7473 7950 8147 10575 11925 12455 14946 16294 21150 22419 23850 24441 24910 37365 40735 44838 48882 62275 73323 74730 81470 112095 122205 124550 146646 186825 203675 224190 244410 366615 373650 382909 407350 431791 560475 611025 733230 765818 863582 1120950 1148727 1222050 1295373 1833075 1914545 2158955 2297454 2590746 3446181 3666150 3829090 3886119 4317910 5743635 6476865 6892362 7772238 9572725 10794775 11487270 12953730 17230905 19145450 19430595 20294177 21589550 28718175 32384325 34461810 38861190 40588354 57436350 60882531 64768650 86154525 97152975 101470885 121765062 172309050 182647593 194305950 202941770 304412655 365295186 507354425 608825310 913237965 1014708850 1522063275 1826475930 3044126550 4566189825 9132379650