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9999613952 = 2172331107
BaseRepresentation
bin10010101000000011…
…00000000000000000
3221210220001000120022
421110001200000000
5130434400121302
64332130233012
7502541213306
oct112401400000
927726030508
109999613952
114271580a69
121b30a25768
13c348b3843
146ac0a2276
153d7d338a2
hex254060000

9999613952 has 144 divisors (see below), whose sum is σ = 21743188992. Its totient is φ = 4584898560.

The previous prime is 9999613951. The next prime is 9999613973. The reversal of 9999613952 is 2593169999.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9999613951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93454283 + ... + 93454389.

It is an arithmetic number, because the mean of its divisors is an integer number (150994368).

Almost surely, 29999613952 is an apocalyptic number.

9999613952 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9999613952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10871594496).

9999613952 is an abundant number, since it is smaller than the sum of its proper divisors (11743575040).

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

9999613952 is an equidigital number, since it uses as much as digits as its factorization.

9999613952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 163 counting only the distinct ones).

The product of its digits is 10628820, while the sum is 62.

The square root of 9999613952 is about 99998.0697413705. The cubic root of 9999613952 is about 2154.4069658350.

The spelling of 9999613952 in words is "nine billion, nine hundred ninety-nine million, six hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 107 124 128 184 214 248 256 368 428 496 512 713 736 856 992 1024 1426 1472 1712 1984 2048 2461 2852 2944 3317 3424 3968 4096 4922 5704 5888 6634 6848 7936 8192 9844 11408 11776 13268 13696 15872 16384 19688 22816 23552 26536 27392 31744 32768 39376 45632 47104 53072 54784 63488 65536 76291 78752 91264 94208 106144 109568 126976 131072 152582 157504 182528 188416 212288 219136 253952 305164 315008 365056 376832 424576 438272 507904 610328 630016 730112 753664 849152 876544 1015808 1220656 1260032 1460224 1507328 1698304 1753088 2031616 2441312 2520064 2920448 3014656 3396608 3506176 4063232 4882624 5040128 5840896 6793216 7012352 9765248 10080256 11681792 13586432 14024704 19530496 20160512 23363584 27172864 39060992 40321024 46727168 54345728 78121984 80642048 93454336 108691456 156243968 161284096 217382912 312487936 322568192 434765824 624975872 1249951744 2499903488 4999806976 9999613952