Search a number
-
+
23297417352 = 23321131948901
BaseRepresentation
bin10101101100101000…
…100110000010001000
32020010122012102111100
4111230220212002020
5340203114323402
614411440301400
71453221531366
oct255450460210
966118172440
1023297417352
11997586a530
124622311860
132273894571
1411b01cc636
159154ad71c
hex56ca26088

23297417352 has 96 divisors (see below), whose sum is σ = 71053781760. Its totient is φ = 6832080000.

The previous prime is 23297417309. The next prime is 23297417419. The reversal of 23297417352 is 25371479232.

23297417352 is a `hidden beast` number, since 2 + 3 + 297 + 4 + 1 + 7 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23297417298 and 23297417307.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 449899 + ... + 499002.

It is an arithmetic number, because the mean of its divisors is an integer number (740143560).

Almost surely, 223297417352 is an apocalyptic number.

23297417352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23297417352 is an abundant number, since it is smaller than the sum of its proper divisors (47756364408).

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

23297417352 is a wasteful number, since it uses less digits than its factorization.

23297417352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948955 (or 948948 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 23297417352 in words is "twenty-three billion, two hundred ninety-seven million, four hundred seventeen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 2046 2232 2728 3069 4092 6138 8184 12276 24552 948901 1897802 2846703 3795604 5693406 7591208 8540109 10437911 11386812 17080218 20875822 22773624 29415931 31313733 34160436 41751644 58831862 62627466 68320872 83503288 88247793 93941199 117663724 125254932 176495586 187882398 235327448 250509864 264743379 323575241 352991172 375764796 529486758 647150482 705982344 751529592 970725723 1058973516 1294300964 1941451446 2117947032 2588601928 2912177169 3882902892 5824354338 7765805784 11648708676 23297417352