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45788705872 = 24713219127321
BaseRepresentation
bin101010101001001110…
…000011010001010000
311101012002112021010021
4222221032003101100
51222233402041442
633011322513224
73210454402210
oct525116032120
9141162467107
1045788705872
1118467592488
128a5a665814
13441943b400
1423052d8240
1512cecd3e67
hexaa9383450

45788705872 has 120 divisors (see below), whose sum is σ = 115567632960. Its totient is φ = 17160698880.

The previous prime is 45788705869. The next prime is 45788705927. The reversal of 45788705872 is 27850788754.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 45788705872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295972 + ... + 423292.

It is an arithmetic number, because the mean of its divisors is an integer number (963063608).

Almost surely, 245788705872 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 45788705872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57783816480).

45788705872 is an abundant number, since it is smaller than the sum of its proper divisors (69778927088).

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

45788705872 is a wasteful number, since it uses less digits than its factorization.

45788705872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127381 (or 127362 counting only the distinct ones).

The product of its (nonzero) digits is 35123200, while the sum is 61.

It can be divided in two parts, 457 and 88705872, that multiplied together give a palindrome (40538583504).

The spelling of 45788705872 in words is "forty-five billion, seven hundred eighty-eight million, seven hundred five thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 169 182 208 247 266 304 338 364 494 532 676 728 988 1064 1183 1352 1456 1729 1976 2128 2366 2704 3211 3458 3952 4732 6422 6916 9464 12844 13832 18928 22477 25688 27664 44954 51376 89908 127321 179816 254642 359632 509284 891247 1018568 1655173 1782494 2037136 2419099 3310346 3564988 4838198 6620692 7129976 9676396 11586211 13241384 14259952 16933693 19352792 21517249 23172422 26482768 31448287 33867386 38705584 43034498 46344844 62896574 67734772 86068996 92689688 125793148 135469544 150620743 172137992 185379376 220138009 251586296 270939088 301241486 344275984 408827731 440276018 503172592 602482972 817655462 880552036 1204965944 1635310924 1761104072 2409931888 2861794117 3270621848 3522208144 5723588234 6541243696 11447176468 22894352936 45788705872