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46404111852 = 223272910162869
BaseRepresentation
bin101011001101111001…
…101000110111101100
311102202222112010102100
4223031321220313230
51230013423034402
633152345055100
73231636304560
oct531571506754
9142688463370
1046404111852
1118752a0306a
128bb0787490
1344b6a9c367
142362d316a0
151318d4671c
hexacde68dec

46404111852 has 144 divisors (see below), whose sum is σ = 140054241600. Its totient is φ = 12674188800.

The previous prime is 46404111851. The next prime is 46404111869. The reversal of 46404111852 is 25811140464.

46404111852 is a `hidden beast` number, since 4 + 64 + 0 + 411 + 185 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46404111851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 706674 + ... + 769542.

It is an arithmetic number, because the mean of its divisors is an integer number (972598900).

Almost surely, 246404111852 is an apocalyptic number.

46404111852 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46404111852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70027120800).

46404111852 is an abundant number, since it is smaller than the sum of its proper divisors (93650129748).

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

46404111852 is a wasteful number, since it uses less digits than its factorization.

46404111852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63016 (or 63011 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 46404111852 in words is "forty-six billion, four hundred four million, one hundred eleven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 101 116 126 174 202 203 252 261 303 348 404 406 522 606 609 707 812 909 1044 1212 1218 1414 1818 1827 2121 2436 2828 2929 3636 3654 4242 5858 6363 7308 8484 8787 11716 12726 17574 20503 25452 26361 35148 41006 52722 61509 62869 82012 105444 123018 125738 184527 188607 246036 251476 369054 377214 440083 565821 738108 754428 880166 1131642 1320249 1760332 1823201 2263284 2640498 3646402 3960747 5280996 5469603 6349769 7292804 7921494 10939206 12699538 12762407 15842988 16408809 19049307 21878412 25399076 25524814 32817618 38098614 38287221 44448383 51049628 57147921 65635236 76197228 76574442 88896766 114295842 114861663 133345149 153148884 177793532 184143301 228591684 229723326 266690298 368286602 400035447 459446652 533380596 552429903 736573204 800070894 1104859806 1289003107 1600141788 1657289709 2209719612 2578006214 3314579418 3867009321 5156012428 6629158836 7734018642 11601027963 15468037284 23202055926 46404111852