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96874476288 = 2831037011747
BaseRepresentation
bin101101000111000101…
…0110011001100000000
3100021001100102021202020
41122032022303030000
53041344331220123
6112300432121440
76666432314322
oct1321612631400
9307040367666
1096874476288
11380a2130957
1216937096280
13919b119025
14498dd01612
1527beb4d7e3
hex168e2b3300

96874476288 has 144 divisors (see below), whose sum is σ = 260851159296. Its totient is φ = 31914086400.

The previous prime is 96874476287. The next prime is 96874476299. The reversal of 96874476288 is 88267447869.

It is not an unprimeable number, because it can be changed into a prime (96874476287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55451031 + ... + 55452777.

It is an arithmetic number, because the mean of its divisors is an integer number (1811466384).

Almost surely, 296874476288 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 96874476288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130425579648).

96874476288 is an abundant number, since it is smaller than the sum of its proper divisors (163976683008).

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

96874476288 is a wasteful number, since it uses less digits than its factorization.

96874476288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2556 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 69.

The spelling of 96874476288 in words is "ninety-six billion, eight hundred seventy-four million, four hundred seventy-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 618 701 768 824 1236 1402 1648 1747 2103 2472 2804 3296 3494 4206 4944 5241 5608 6592 6988 8412 9888 10482 11216 13184 13976 16824 19776 20964 22432 26368 27952 33648 39552 41928 44864 55904 67296 72203 79104 83856 89728 111808 134592 144406 167712 179456 179941 216609 223616 269184 288812 335424 359882 433218 447232 538368 539823 577624 670848 719764 866436 1079646 1155248 1224647 1341696 1439528 1732872 2159292 2310496 2449294 2879056 3465744 3673941 4318584 4620992 4898588 5758112 6931488 7347882 8637168 9241984 9797176 11516224 13862976 14695764 17274336 18483968 19594352 23032448 27725952 29391528 34548672 39188704 46064896 55451904 58783056 69097344 78377408 117566112 126138641 138194688 156754816 235132224 252277282 313509632 378415923 470264448 504554564 756831846 940528896 1009109128 1513663692 2018218256 3027327384 4036436512 6054654768 8072873024 12109309536 16145746048 24218619072 32291492096 48437238144 96874476288