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46332023364 = 223211222214789
BaseRepresentation
bin101011001001100110…
…101001001001000100
311102120221212122121100
4223021212221021010
51224341444221424
633141252020100
73230102462214
oct531146511104
9142527778540
1046332023364
1118716245a00
128b90601630
1344a4b7c053
142357528244
151312856dc9
hexac99a9244

46332023364 has 108 divisors (see below), whose sum is σ = 128816828140. Its totient is φ = 14030755200.

The previous prime is 46332023359. The next prime is 46332023371.

46332023364 is a `hidden beast` number, since 46 + 3 + 320 + 233 + 64 = 666.

46332023364 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 15510709764 + 30821313600 = 124542^2 + 175560^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9672282 + ... + 9677070.

Almost surely, 246332023364 is an apocalyptic number.

46332023364 is a gapful number since it is divisible by the number (44) 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 46332023364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64408414070).

46332023364 is an abundant number, since it is smaller than the sum of its proper divisors (82484804776).

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

46332023364 is a wasteful number, since it uses less digits than its factorization.

46332023364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 463320 and 23364, that added together give a palindrome (486684).

The spelling of 46332023364 in words is "forty-six billion, three hundred thirty-two million, twenty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 2221 4356 4442 4789 6663 8884 9578 13326 14367 19156 19989 24431 26652 28734 39978 43101 48862 52679 57468 73293 79956 86202 97724 105358 146586 158037 172404 210716 219879 268741 293172 316074 439758 474111 537482 579469 632148 806223 879516 948222 1074964 1158938 1612446 1738407 1896444 2317876 2418669 3224892 3476814 4837338 5215221 6953628 9674676 10430442 10636369 20860884 21272738 31909107 42545476 63818214 95727321 117000059 127636428 191454642 234000118 351000177 382909284 468000236 702000354 1053000531 1287000649 1404000708 2106001062 2574001298 3861001947 4212002124 5148002596 7722003894 11583005841 15444007788 23166011682 46332023364