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45674671104 = 2103215731567
BaseRepresentation
bin101010100010011011…
…000010110000000000
311100220010221200211100
4222202123002300000
51222020203433404
632552130414400
73204601204266
oct524233026000
9140803850740
1045674671104
1118409185477
128a28431400
1343cb92270a
1422d40d2436
1512c4caad39
hexaa26c2c00

45674671104 has 132 divisors (see below), whose sum is σ = 132728855584. Its totient is φ = 15127437312.

The previous prime is 45674671087. The next prime is 45674671151. The reversal of 45674671104 is 40117647654.

45674671104 is a `hidden beast` number, since 4 + 567 + 4 + 6 + 71 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45674671104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1431129 + ... + 1462695.

Almost surely, 245674671104 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 45674671104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66364427792).

45674671104 is an abundant number, since it is smaller than the sum of its proper divisors (87054184480).

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

45674671104 is a wasteful number, since it uses less digits than its factorization.

45674671104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31750 (or 31729 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 45674671104 in words is "forty-five billion, six hundred seventy-four million, six hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 157 192 256 288 314 384 471 512 576 628 768 942 1024 1152 1256 1413 1536 1884 2304 2512 2826 3072 3768 4608 5024 5652 7536 9216 10048 11304 15072 20096 22608 30144 31567 40192 45216 60288 63134 80384 90432 94701 120576 126268 160768 180864 189402 241152 252536 284103 361728 378804 482304 505072 568206 723456 757608 1010144 1136412 1446912 1515216 2020288 2272824 3030432 4040576 4545648 4956019 6060864 8081152 9091296 9912038 12121728 14868057 16162304 18182592 19824076 24243456 29736114 32324608 36365184 39648152 44604171 48486912 59472228 72730368 79296304 89208342 96973824 118944456 145460736 158592608 178416684 237888912 290921472 317185216 356833368 475777824 634370432 713666736 951555648 1268740864 1427333472 1903111296 2537481728 2854666944 3806222592 5074963456 5709333888 7612445184 11418667776 15224890368 22837335552 45674671104