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968948859904 = 21019216192
BaseRepresentation
bin11100001100110011101…
…10100100010000000000
310102122000201020001222021
432012121312210100000
5111333401402004104
62021043504451224
7130001312262544
oct16063166442000
93378021201867
10968948859904
11343a24409843
12137957019b14
13704aa1cc26c
1434c7c57ba24
151a310708754
hexe199da4400

968948859904 has 99 divisors (see below), whose sum is σ = 2045525261367. Its totient is φ = 458692282368.

The previous prime is 968948859881. The next prime is 968948859919. The reversal of 968948859904 is 409958849869.

The square root of 968948859904 is 984352.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×9689488599042 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 598485207 + ... + 598486825.

Almost surely, 2968948859904 is an apocalyptic number.

968948859904 is the 984352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968948859904

968948859904 is an abundant number, since it is smaller than the sum of its proper divisors (1076576401463).

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

968948859904 is an frugal number, since it uses more digits than its factorization.

968948859904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 1612431360, while the sum is 79.

The spelling of 968948859904 in words is "nine hundred sixty-eight billion, nine hundred forty-eight million, eight hundred fifty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 512 608 722 1024 1216 1444 1619 2432 2888 3238 4864 5776 6476 9728 11552 12952 19456 23104 25904 30761 46208 51808 61522 92416 103616 123044 184832 207232 246088 369664 414464 492176 584459 828928 984352 1168918 1657856 1968704 2337836 2621161 3937408 4675672 5242322 7874816 9351344 10484644 15749632 18702688 20969288 31499264 37405376 41938576 49802059 74810752 83877152 99604118 149621504 167754304 199208236 299243008 335508608 398416472 598486016 671017216 796832944 946239121 1342034432 1593665888 1892478242 2684068864 3187331776 3784956484 6374663552 7569912968 12749327104 15139825936 25498654208 30279651872 50997308416 60559303744 121118607488 242237214976 484474429952 968948859904