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44546820688132 = 22729716431201687
BaseRepresentation
bin10100010000011110111010…
…11011000100100100000100
312211201122010112012211010121
422020033131123010210010
521314323342044010012
6234424305451231324
712245254513155250
oct1210173533044404
9184648115184117
1044546820688132
1113215222a44114
124bb5580148544
131bb19936a6849
14b0011300b260
15523b71edba07
hex2883dd6c4904

44546820688132 has 96 divisors (see below), whose sum is σ = 93609380229120. Its totient is φ = 18145266330240.

The previous prime is 44546820688127. The next prime is 44546820688151. The reversal of 44546820688132 is 23188602864544.

44546820688132 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36469393 + ... + 37671079.

It is an arithmetic number, because the mean of its divisors is an integer number (975097710720).

Almost surely, 244546820688132 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 44546820688132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46804690114560).

44546820688132 is an abundant number, since it is smaller than the sum of its proper divisors (49062559540988).

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

44546820688132 is a wasteful number, since it uses less digits than its factorization.

44546820688132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202441 (or 1202439 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 61.

The spelling of 44546820688132 in words is "forty-four trillion, five hundred forty-six billion, eight hundred twenty million, six hundred eighty-eight thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 58 71 116 142 203 284 406 497 643 812 994 1286 1988 2059 2572 4118 4501 8236 9002 14413 18004 18647 28826 37294 45653 57652 74588 91306 130529 182612 261058 319571 522116 639142 1201687 1278284 1323937 2403374 2647874 4806748 5295748 8411809 9267559 16823618 18535118 33647236 34848923 37070236 69697846 85319777 139395692 170639554 243942461 341279108 487884922 597238439 772684741 975769844 1194476878 1545369482 2388953756 2474273533 3090738964 4948547066 5408793187 9897094132 10817586374 17319914731 21635172748 22407857489 34639829462 44815714978 54860616611 69279658924 89631429956 109721233222 156855002423 219442466444 313710004846 384024316277 627420009692 768048632554 1536097265108 1590957881719 3181915763438 6363831526876 11136705172033 22273410344066 44546820688132