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9997420464 = 24351373
BaseRepresentation
bin10010100111110010…
…01000011110110000
3221210201220120200000
421103321020132300
5130433314423324
64332011230000
7502513446303
oct112371103660
927721816600
109997420464
114270312a69
121b30148300
13c342c6315
146aba90b3a
153d7a4d9c9
hex253e487b0

9997420464 has 120 divisors (see below), whose sum is σ = 29228493840. Its totient is φ = 3308148864.

The previous prime is 9997420457. The next prime is 9997420483. The reversal of 9997420464 is 4640247999.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9997420464 is a `hidden beast` number, since 9 + 99 + 74 + 20 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9997420464.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72973804 + ... + 72973940.

It is an arithmetic number, because the mean of its divisors is an integer number (243570782).

Almost surely, 29997420464 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 9997420464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14614246920).

9997420464 is an abundant number, since it is smaller than the sum of its proper divisors (19231073376).

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

9997420464 is an frugal number, since it uses more digits than its factorization.

9997420464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 9997420464 is about 99987.1014881420. The cubic root of 9997420464 is about 2154.2494260397.

The spelling of 9997420464 in words is "nine billion, nine hundred ninety-seven million, four hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 137 144 162 216 243 274 324 411 432 486 548 648 822 972 1096 1233 1296 1644 1944 2192 2466 3288 3699 3888 4932 6576 7398 9864 11097 14796 18769 19728 22194 29592 33291 37538 44388 56307 59184 66582 75076 88776 112614 133164 150152 168921 177552 225228 266328 300304 337842 450456 506763 532656 675684 900912 1013526 1351368 1520289 2027052 2571353 2702736 3040578 4054104 4560867 5142706 6081156 7714059 8108208 9121734 10285412 12162312 15428118 18243468 20570824 23142177 24324624 30856236 36486936 41141648 46284354 61712472 69426531 72973872 92568708 123424944 138853062 185137416 208279593 277706124 370274832 416559186 555412248 624838779 833118372 1110824496 1249677558 1666236744 2499355116 3332473488 4998710232 9997420464