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1068776448 = 21031918311
BaseRepresentation
bin111111101101000…
…011110000000000
32202111002110122220
4333231003300000
54142101321243
6254015331040
735325310215
oct7755036000
92674073586
101068776448
114a9329623
12259b20a80
1314056aacc
14a1d31b0c
1563c69783
hex3fb43c00

1068776448 has 88 divisors (see below), whose sum is σ = 2998773120. Its totient is φ = 337489920.

The previous prime is 1068776441. The next prime is 1068776483. The reversal of 1068776448 is 8446778601.

It is a happy number.

It is a super-2 number, since 2×10687764482 = 2284566191598993408, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1068776448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068776441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49213 + ... + 67523.

Almost surely, 21068776448 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 1068776448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499386560).

1068776448 is an abundant number, since it is smaller than the sum of its proper divisors (1929996672).

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

1068776448 is a wasteful number, since it uses less digits than its factorization.

1068776448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18353 (or 18335 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 1068776448 is about 32692.1465798745. The cubic root of 1068776448 is about 1022.4191100976.

The spelling of 1068776448 in words is "one billion, sixty-eight million, seven hundred seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2432 3072 3648 4864 7296 9728 14592 18311 19456 29184 36622 54933 58368 73244 109866 146488 219732 292976 347909 439464 585952 695818 878928 1043727 1171904 1391636 1757856 2087454 2343808 2783272 3515712 4174908 4687616 5566544 7031424 8349816 9375232 11133088 14062848 16699632 18750464 22266176 28125696 33399264 44532352 56251392 66798528 89064704 133597056 178129408 267194112 356258816 534388224 1068776448