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1681437919716 = 2237433443899
BaseRepresentation
bin11000011101111101100…
…000101000100111100100
312221202002022002110000000
4120131331200220213210
5210022041101412331
63324235242021300
7232323412333302
oct30357540504744
95852068073000
101681437919716
11599103963975
12231a5a1a7830
13c2735c25309
145b54c409272
152db10e380e6
hex1877d8289e4

1681437919716 has 96 divisors (see below), whose sum is σ = 4423303696000. Its totient is φ = 559183637376.

The previous prime is 1681437919699. The next prime is 1681437919841. The reversal of 1681437919716 is 6179197341861.

1681437919716 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 437 + 9 + 197 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3565935 + ... + 4009833.

Almost surely, 21681437919716 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 1681437919716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211651848000).

1681437919716 is an abundant number, since it is smaller than the sum of its proper divisors (2741865776284).

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

1681437919716 is an equidigital number, since it uses as much as digits as its factorization.

1681437919716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444357 (or 444337 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 63.

The spelling of 1681437919716 in words is "one trillion, six hundred eighty-one billion, four hundred thirty-seven million, nine hundred nineteen thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 433 486 729 866 972 1299 1458 1732 2187 2598 2916 3897 4374 5196 7794 8748 11691 15588 23382 35073 46764 70146 105219 140292 210438 315657 420876 443899 631314 887798 946971 1262628 1331697 1775596 1893942 2663394 3787884 3995091 5326788 7990182 11985273 15980364 23970546 35955819 47941092 71911638 107867457 143823276 192208267 215734914 323602371 384416534 431469828 576624801 647204742 768833068 970807113 1153249602 1294409484 1729874403 1941614226 2306499204 3459748806 3883228452 5189623209 6919497612 10379246418 15568869627 20758492836 31137739254 46706608881 62275478508 93413217762 140119826643 186826435524 280239653286 420359479929 560479306572 840718959858 1681437919716