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916051968 = 21132133823
BaseRepresentation
bin110110100110011…
…101100000000000
32100211201021001200
4312212131200000
53334002130333
6230522101200
731462212306
oct6646354000
92324637050
10916051968
114300a6447
1221694a800
13117a26ab0
1489938276
155564cc13
hex3699d800

916051968 has 144 divisors (see below), whose sum is σ = 2849988960. Its totient is φ = 281788416.

The previous prime is 916051967. The next prime is 916052003. The reversal of 916051968 is 869150619.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916051963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237705 + ... + 241527.

It is an arithmetic number, because the mean of its divisors is an integer number (19791590).

Almost surely, 2916051968 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 916051968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424994480).

916051968 is an abundant number, since it is smaller than the sum of its proper divisors (1933936992).

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

916051968 is a wasteful number, since it uses less digits than its factorization.

916051968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 916051968 is about 30266.3504241922. The cubic root of 916051968 is about 971.1955952094.

The spelling of 916051968 in words is "nine hundred sixteen million, fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 3823 4608 4992 6144 6656 7488 7646 9216 9984 11469 13312 14976 15292 18432 19968 22938 26624 29952 30584 34407 39936 45876 49699 59904 61168 68814 79872 91752 99398 119808 122336 137628 149097 183504 198796 239616 244672 275256 298194 367008 397592 447291 489344 550512 596388 734016 795184 894582 978688 1101024 1192776 1468032 1590368 1789164 1957376 2202048 2385552 2936064 3180736 3578328 3914752 4404096 4771104 5872128 6361472 7156656 7829504 8808192 9542208 11744256 12722944 14313312 17616384 19084416 23488512 25445888 28626624 35232768 38168832 50891776 57253248 70465536 76337664 101783552 114506496 152675328 229012992 305350656 458025984 916051968