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99076018464 = 2532617971387
BaseRepresentation
bin101110001000101100…
…1000001000100100000
3100110201210000012212100
41130101121001010200
53110401430042324
6113303114530400
710105124155533
oct1342131010440
9313653005770
1099076018464
11390219140a5
1217250436a00
13945c26a5c7
144b1c460a1a
15289d0724c9
hex1711641120

99076018464 has 144 divisors (see below), whose sum is σ = 289995189120. Its totient is φ = 32072302080.

The previous prime is 99076018417. The next prime is 99076018469. The reversal of 99076018464 is 46481067099.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 99076018464.

It is not an unprimeable number, because it can be changed into a prime (99076018469) 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, 1352179 + ... + 1423565.

It is an arithmetic number, because the mean of its divisors is an integer number (2013855480).

Almost surely, 299076018464 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 99076018464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144997594560).

99076018464 is an abundant number, since it is smaller than the sum of its proper divisors (190919170656).

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

99076018464 is a wasteful number, since it uses less digits than its factorization.

99076018464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71543 (or 71532 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 99076018464 in words is "ninety-nine billion, seventy-six million, eighteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 79 96 122 144 158 183 237 244 288 316 366 474 488 549 632 711 732 948 976 1098 1264 1422 1464 1896 1952 2196 2528 2844 2928 3792 4392 4819 5688 5856 7584 8784 9638 11376 14457 17568 19276 22752 28914 38552 43371 57828 71387 77104 86742 115656 142774 154208 173484 214161 231312 285548 346968 428322 462624 571096 642483 693936 856644 1142192 1284966 1387872 1713288 2284384 2569932 3426576 4354607 5139864 5639573 6853152 8709214 10279728 11279146 13063821 16918719 17418428 20559456 22558292 26127642 33837438 34836856 39191463 45116584 50756157 52255284 67674876 69673712 78382926 90233168 101512314 104510568 135349752 139347424 156765852 180466336 203024628 209021136 270699504 313531704 344013953 406049256 418042272 541399008 627063408 688027906 812098512 1032041859 1254126816 1376055812 1624197024 2064083718 2752111624 3096125577 4128167436 5504223248 6192251154 8256334872 11008446496 12384502308 16512669744 24769004616 33025339488 49538009232 99076018464