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45694029312 = 29338773769
BaseRepresentation
bin101010100011100100…
…111000111000000000
311100221111101012022000
4222203210320320000
51222040132414222
632554101344000
73205224561231
oct524344707000
9140844335260
1045694029312
11184190a7598
128a32a08000
13440293c989
1422d68d1088
1512c68319ac
hexaa3938e00

45694029312 has 160 divisors (see below), whose sum is σ = 135447655200. Its totient is φ = 15209938944.

The previous prime is 45694029289. The next prime is 45694029373. The reversal of 45694029312 is 21392049654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12121764 + ... + 12125532.

It is an arithmetic number, because the mean of its divisors is an integer number (846547845).

Almost surely, 245694029312 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 45694029312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67723827600).

45694029312 is an abundant number, since it is smaller than the sum of its proper divisors (89753625888).

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

45694029312 is an equidigital number, since it uses as much as digits as its factorization.

45694029312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 45694029312 in words is "forty-five billion, six hundred ninety-four million, twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 877 1152 1536 1728 1754 2304 2631 3456 3508 3769 4608 5262 6912 7016 7538 7893 10524 11307 13824 14032 15076 15786 21048 22614 23679 28064 30152 31572 33921 42096 45228 47358 56128 60304 63144 67842 84192 90456 94716 101763 112256 120608 126288 135684 168384 180912 189432 203526 224512 241216 252576 271368 336768 361824 378864 407052 449024 482432 505152 542736 673536 723648 757728 814104 964864 1010304 1085472 1347072 1447296 1515456 1628208 1929728 2020608 2170944 2894592 3030912 3256416 3305413 4041216 4341888 5789184 6061824 6512832 6610826 8683776 9916239 12123648 13025664 13221652 17367552 19832478 26051328 26443304 29748717 39664956 52102656 52886608 59497434 79329912 89246151 105773216 118994868 158659824 178492302 211546432 237989736 317319648 356984604 423092864 475979472 634639296 713969208 846185728 951958944 1269278592 1427938416 1692371456 1903917888 2538557184 2855876832 3807835776 5077114368 5711753664 7615671552 11423507328 15231343104 22847014656 45694029312