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46444111636428 = 223211373499082561
BaseRepresentation
bin10101000111101100111001…
…10001101010011111001100
320002110000100222212020112200
422203312130301222133030
522041420020034331203
6242440044053001500
712532322245142022
oct1243663461523714
9202400328766480
1046444111636428
11138869232501a0
12526121b023290
131cbb8790c59bc
14b67c9ab2c712
155581b800c9a3
hex2a3d9cc6a7cc

46444111636428 has 144 divisors (see below), whose sum is σ = 131911497463200. Its totient is φ = 13654357401600.

The previous prime is 46444111636291. The next prime is 46444111636469. The reversal of 46444111636428 is 82463611144464.

46444111636428 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 411 + 163 + 64 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 572268 + ... + 9654828.

Almost surely, 246444111636428 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 46444111636428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65955748731600).

46444111636428 is an abundant number, since it is smaller than the sum of its proper divisors (85467385826772).

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

46444111636428 is a wasteful number, since it uses less digits than its factorization.

46444111636428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9082968 (or 9082963 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 46444111636428 in words is "forty-six trillion, four hundred forty-four billion, one hundred eleven million, six hundred thirty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 349 396 407 444 666 698 814 1047 1221 1332 1396 1628 2094 2442 3141 3663 3839 4188 4884 6282 7326 7678 11517 12564 12913 14652 15356 23034 25826 34551 38739 46068 51652 69102 77478 116217 138204 142043 154956 232434 284086 426129 464868 568172 852258 1278387 1704516 2556774 5113548 9082561 18165122 27247683 36330244 54495366 81743049 99908171 108990732 163486098 199816342 299724513 326972196 336054757 399632684 599449026 672109514 899173539 1008164271 1198898052 1344219028 1798347078 2016328542 3024492813 3169813789 3596694156 3696602327 4032657084 6048985626 6339627578 7393204654 9509441367 11089806981 12097971252 12679255156 14786409308 19018882734 22179613962 28528324101 33269420943 34867951679 38037765468 44359227924 57056648202 66538841886 69735903358 104603855037 114113296404 117283110193 133077683772 139471806716 209207710074 234566220386 313811565111 351849330579 418415420148 469132440772 627623130222 703698661158 1055547991737 1255246260444 1290114212123 1407397322316 2111095983474 2580228424246 3870342636369 4222191966948 5160456848492 7740685272738 11611027909107 15481370545476 23222055818214 46444111636428