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45111679488 = 29333263287
BaseRepresentation
bin101010000000110111…
…011001101000000000
311022102220120202112000
4222000313121220000
51214342042220423
632420215504000
73154623643311
oct520067315000
9138386522460
1045111679488
111814a404547
1288ab988000
13433c0b3a95
14227d420608
15129064d843
hexa80dd9a00

45111679488 has 80 divisors (see below), whose sum is σ = 133533744960. Its totient is φ = 15037221888.

The previous prime is 45111679453. The next prime is 45111679489. The reversal of 45111679488 is 88497611154.

45111679488 is a `hidden beast` number, since 4 + 511 + 16 + 79 + 48 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45111679489) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1617820 + ... + 1645467.

It is an arithmetic number, because the mean of its divisors is an integer number (1669171812).

Almost surely, 245111679488 is an apocalyptic number.

45111679488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45111679488 is an abundant number, since it is smaller than the sum of its proper divisors (88422065472).

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

45111679488 is an equidigital number, since it uses as much as digits as its factorization.

45111679488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263314 (or 3263292 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 45111679488 in words is "forty-five billion, one hundred eleven million, six hundred seventy-nine thousand, four hundred eighty-eight".

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 1152 1536 1728 2304 3456 4608 6912 13824 3263287 6526574 9789861 13053148 19579722 26106296 29369583 39159444 52212592 58739166 78318888 88108749 104425184 117478332 156637776 176217498 208850368 234956664 313275552 352434996 417700736 469913328 626551104 704869992 835401472 939826656 1253102208 1409739984 1670802944 1879653312 2506204416 2819479968 3759306624 5012408832 5638959936 7518613248 11277919872 15037226496 22555839744 45111679488