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20233090416 = 24371131176591
BaseRepresentation
bin10010110101111111…
…000111010101110000
31221020002010111012010
4102311333013111300
5312414132343131
613143413202520
71314252300540
oct226577072560
957202114163
1020233090416
118643063330
123b08030440
131ba5a79766
14d9d23d320
157d645eb46
hex4b5fc7570

20233090416 has 160 divisors (see below), whose sum is σ = 67268837376. Its totient is φ = 5085792000.

The previous prime is 20233090351. The next prime is 20233090429. The reversal of 20233090416 is 61409033202.

It is a super-3 number, since 3×202330904163 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26281 + ... + 202871.

Almost surely, 220233090416 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 20233090416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33634418688).

20233090416 is an abundant number, since it is smaller than the sum of its proper divisors (47035746960).

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

20233090416 is a wasteful number, since it uses less digits than its factorization.

20233090416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176651 (or 176645 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 20233090416 in words is "twenty billion, two hundred thirty-three million, ninety thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 31 33 42 44 48 56 62 66 77 84 88 93 112 124 132 154 168 176 186 217 231 248 264 308 336 341 372 434 462 496 528 616 651 682 744 868 924 1023 1232 1302 1364 1488 1736 1848 2046 2387 2604 2728 3472 3696 4092 4774 5208 5456 7161 8184 9548 10416 14322 16368 19096 28644 38192 57288 114576 176591 353182 529773 706364 1059546 1236137 1412728 1942501 2119092 2472274 2825456 3708411 3885002 4238184 4944548 5474321 5827503 7416822 7770004 8476368 9889096 10948642 11655006 13597507 14833644 15540008 16422963 19778192 21897284 23310012 27195014 29667288 31080016 32845926 38320247 40792521 43794568 46620024 54390028 59334576 60217531 65691852 76640494 81585042 87589136 93240048 108780056 114960741 120435062 131383704 153280988 163170084 180652593 217560112 229921482 240870124 262767408 306561976 326340168 361305186 421522717 459842964 481740248 613123952 652680336 722610372 843045434 919685928 963480496 1264568151 1445220744 1686090868 1839371856 2529136302 2890441488 3372181736 5058272604 6744363472 10116545208 20233090416