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1681707405636 = 2233412271673081
BaseRepresentation
bin11000011110001101100…
…100101001000101000100
312221202210002011202012000
4120132031210221011010
5210023114043440021
63324322110025300
7232333164043446
oct30361544510504
95852702152160
101681707405636
11599231a96705
12231b144a8230
13c27799cb13b
145b576118496
152db2991ab26
hex1878d929144

1681707405636 has 96 divisors (see below), whose sum is σ = 4486001304960. Its totient is φ = 544487155200.

The previous prime is 1681707405619. The next prime is 1681707405641. The reversal of 1681707405636 is 6365047071861.

1681707405636 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 7 + 0 + 74 + 0 + 563 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168616 + ... + 1841696.

It is an arithmetic number, because the mean of its divisors is an integer number (46729180260).

Almost surely, 21681707405636 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 1681707405636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243000652480).

1681707405636 is an abundant number, since it is smaller than the sum of its proper divisors (2804293899324).

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

1681707405636 is a wasteful number, since it uses less digits than its factorization.

1681707405636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673362 (or 1673354 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1681707405636 in words is "one trillion, six hundred eighty-one billion, seven hundred seven million, four hundred five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 227 246 369 454 492 681 738 908 1107 1362 1476 2043 2214 2724 4086 4428 6129 8172 9307 12258 18614 24516 27921 37228 55842 83763 111684 167526 251289 335052 502578 1005156 1673081 3346162 5019243 6692324 10038486 15057729 20076972 30115458 45173187 60230916 68596321 90346374 137192642 180692748 205788963 274385284 379789387 411577926 617366889 759578774 823155852 1139368161 1234733778 1519157548 1852100667 2278736322 2469467556 3418104483 3704201334 4557472644 6836208966 7408402668 10254313449 13672417932 15571364867 20508626898 31142729734 41017253796 46714094601 62285459468 93428189202 140142283803 186856378404 280284567606 420426851409 560569135212 840853702818 1681707405636