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5368831968 = 253315930577
BaseRepresentation
bin1010000000000000…
…11101111111100000
3111212011101220220110
411000000131333200
541443410110333
62244424411320
7250021214223
oct50000357740
914764356813
105368831968
112305624a15
12105a016b40
136773a9666
1438d0715ba
15216510063
hex14001dfe0

5368831968 has 96 divisors (see below), whose sum is σ = 14794859520. Its totient is φ = 1702471680.

The previous prime is 5368831967. The next prime is 5368831991. The reversal of 5368831968 is 8691388635.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5368831967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160296 + ... + 190872.

It is an arithmetic number, because the mean of its divisors is an integer number (154113120).

Almost surely, 25368831968 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 5368831968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7397429760).

5368831968 is an abundant number, since it is smaller than the sum of its proper divisors (9426027552).

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

5368831968 is a wasteful number, since it uses less digits than its factorization.

5368831968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30680 (or 30672 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The square root of 5368831968 is about 73272.3137890431. The cubic root of 5368831968 is about 1751.0287250032.

The spelling of 5368831968 in words is "five billion, three hundred sixty-eight million, eight hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 59 62 93 96 118 124 177 186 236 248 354 372 472 496 708 744 944 992 1416 1488 1829 1888 2832 2976 3658 5487 5664 7316 10974 14632 21948 29264 30577 43896 58528 61154 87792 91731 122308 175584 183462 244616 366924 489232 733848 947887 978464 1467696 1804043 1895774 2843661 2935392 3608086 3791548 5412129 5687322 7216172 7583096 10824258 11374644 14432344 15166192 21648516 22749288 28864688 30332384 43297032 45498576 55925333 57729376 86594064 90997152 111850666 167775999 173188128 223701332 335551998 447402664 671103996 894805328 1342207992 1789610656 2684415984 5368831968