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22798161152 = 281329534457
BaseRepresentation
bin10101001110111000…
…000101010100000000
32011211211202120201222
4111032320011110000
5333142312124102
614250123414212
71434650113064
oct251670052400
964754676658
1022798161152
119739a709a8
124503084368
1321c430cbb0
141163b8baa4
158d6740aa2
hex54ee05500

22798161152 has 144 divisors (see below), whose sum is σ = 51665901840. Its totient is φ = 9965469696.

The previous prime is 22798161107. The next prime is 22798161193. The reversal of 22798161152 is 25116189722.

It can be written as a sum of positive squares in 8 ways, for example, as 28558336 + 22769602816 = 5344^2 + 150896^2 .

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5112908 + ... + 5117364.

It is an arithmetic number, because the mean of its divisors is an integer number (358790985).

Almost surely, 222798161152 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 22798161152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25832950920).

22798161152 is an abundant number, since it is smaller than the sum of its proper divisors (28867740688).

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

22798161152 is a wasteful number, since it uses less digits than its factorization.

22798161152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568 (or 4554 counting only the distinct ones).

The product of its digits is 120960, while the sum is 44.

The spelling of 22798161152 in words is "twenty-two billion, seven hundred ninety-eight million, one hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 53 58 64 104 106 116 128 208 212 232 256 377 416 424 464 689 754 832 848 928 1378 1508 1537 1664 1696 1856 2756 3016 3074 3328 3392 3712 4457 5512 6032 6148 6784 7424 8914 11024 12064 12296 13568 17828 19981 22048 24128 24592 35656 39962 44096 48256 49184 57941 71312 79924 88192 96512 98368 115882 129253 142624 159848 176384 196736 231764 236221 258506 285248 319696 393472 463528 472442 517012 570496 639392 927056 944884 1034024 1140992 1278784 1680289 1854112 1889768 2068048 2557568 3070873 3360578 3708224 3779536 4136096 5115136 6141746 6721156 6850409 7416448 7559072 8272192 12283492 13442312 13700818 14832896 15118144 16544384 24566984 26884624 27401636 30236288 33088768 49133968 53769248 54803272 60472576 89055317 98267936 107538496 109606544 178110634 196535872 215076992 219213088 356221268 393071744 430153984 438426176 712442536 786143488 876852352 1424885072 1753704704 2849770144 5699540288 11399080576 22798161152