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9974739312 = 2432294750821
BaseRepresentation
bin10010100101000101…
…00111000101110000
3221202011020020222100
421102202213011300
5130412013124222
64325441140400
7502116612426
oct112242470560
927664206870
109974739312
11425953130a
121b2462a700
13c2c6b4715
146a8a69116
153d5a6d4ac
hex2528a7170

9974739312 has 120 divisors (see below), whose sum is σ = 29493023040. Its totient is φ = 3141895680.

The previous prime is 9974739311. The next prime is 9974739353. The reversal of 9974739312 is 2139374799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9974739311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170862 + ... + 221682.

It is an arithmetic number, because the mean of its divisors is an integer number (245775192).

Almost surely, 29974739312 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 9974739312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14746511520).

9974739312 is an abundant number, since it is smaller than the sum of its proper divisors (19518283728).

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

9974739312 is a wasteful number, since it uses less digits than its factorization.

9974739312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50911 (or 50902 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The square root of 9974739312 is about 99873.6166963027. The cubic root of 9974739312 is about 2152.6190769674.

The spelling of 9974739312 in words is "nine billion, nine hundred seventy-four million, seven hundred thirty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 47 48 58 72 87 94 116 141 144 174 188 232 261 282 348 376 423 464 522 564 696 752 846 1044 1128 1363 1392 1692 2088 2256 2726 3384 4089 4176 5452 6768 8178 10904 12267 16356 21808 24534 32712 49068 50821 65424 98136 101642 152463 196272 203284 304926 406568 457389 609852 813136 914778 1219704 1473809 1829556 2388587 2439408 2947618 3659112 4421427 4777174 5895236 7165761 7318224 8842854 9554348 11790472 13264281 14331522 17685708 19108696 21497283 23580944 26528562 28663044 35371416 38217392 42994566 53057124 57326088 69269023 70742832 85989132 106114248 114652176 138538046 171978264 207807069 212228496 277076092 343956528 415614138 554152184 623421207 831228276 1108304368 1246842414 1662456552 2493684828 3324913104 4987369656 9974739312