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9922950996 = 22372232925301
BaseRepresentation
bin10010011110111010…
…00011011101010100
3221121112210010202120
421033131003131110
5130310233412441
64320351135540
7500620456200
oct111735033524
927545703676
109922950996
114232279a52
121b0b2145b0
13c21a5134a
146a1c27b00
153d123d966
hex24f743754

9922950996 has 144 divisors (see below), whose sum is σ = 29075034240. Its totient is φ = 2618246400.

The previous prime is 9922950979. The next prime is 9922950997. The reversal of 9922950996 is 6990592299.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9922950997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379546 + ... + 404846.

It is an arithmetic number, because the mean of its divisors is an integer number (201909960).

Almost surely, 29922950996 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 9922950996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14537517120).

9922950996 is an abundant number, since it is smaller than the sum of its proper divisors (19152083244).

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

9922950996 is a wasteful number, since it uses less digits than its factorization.

9922950996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25374 (or 25365 counting only the distinct ones).

The product of its (nonzero) digits is 7085880, while the sum is 60.

The square root of 9922950996 is about 99614.0100387491. The cubic root of 9922950996 is about 2148.8871829778.

The spelling of 9922950996 in words is "nine billion, nine hundred twenty-two million, nine hundred fifty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 29 42 46 49 58 69 84 87 92 98 116 138 147 161 174 196 203 276 294 322 348 406 483 588 609 644 667 812 966 1127 1218 1334 1421 1932 2001 2254 2436 2668 2842 3381 4002 4263 4508 4669 5684 6762 8004 8526 9338 13524 14007 17052 18676 25301 28014 32683 50602 56028 65366 75903 98049 101204 130732 151806 177107 196098 303612 354214 392196 531321 581923 708428 733729 1062642 1163846 1239749 1467458 1745769 2125284 2201187 2327692 2479498 2934916 3491538 3719247 4073461 4402374 4958996 5136103 6983076 7438494 8146922 8804748 10272206 12220383 14876988 15408309 16293844 16875767 20544412 24440766 28514227 30816618 33751534 35952721 48881532 50627301 57028454 61633236 67503068 71905442 85542681 101254602 107858163 114056908 118130369 143810884 171085362 202509204 215716326 236260738 342170724 354391107 431432652 472521476 708782214 826912583 1417564428 1653825166 2480737749 3307650332 4961475498 9922950996