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8104355089584 = 24313157331249923
BaseRepresentation
bin111010111101111000100…
…1101001100110010110000
31001200202202102220012220020
41311323301031030302300
52030240204400331314
625123031143443440
71464343321434015
oct165736115146260
931622672805806
108104355089584
112645046193626
12aaa818156580
1346a311770c90
14200377c8770c
15e0c2d6b6da9
hex75ef134ccb0

8104355089584 has 160 divisors (see below), whose sum is σ = 22758983165184. Its totient is φ = 2470269035520.

The previous prime is 8104355089561. The next prime is 8104355089639. The reversal of 8104355089584 is 4859805534018.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32302447 + ... + 32552369.

Almost surely, 28104355089584 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 8104355089584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11379491582592).

8104355089584 is an abundant number, since it is smaller than the sum of its proper divisors (14654628075600).

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

8104355089584 is a wasteful number, since it uses less digits than its factorization.

8104355089584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250435 (or 250429 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 60.

The spelling of 8104355089584 in words is "eight trillion, one hundred four billion, three hundred fifty-five million, eighty-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 157 208 312 314 331 471 624 628 662 942 993 1256 1324 1884 1986 2041 2512 2648 3768 3972 4082 4303 5296 6123 7536 7944 8164 8606 12246 12909 15888 16328 17212 24492 25818 32656 34424 48984 51636 51967 68848 97968 103272 103934 155901 206544 207868 249923 311802 415736 499846 623604 675571 749769 831472 999692 1247208 1351142 1499538 1999384 2026713 2494416 2702284 2999076 3248999 3998768 4053426 5404568 5998152 6497998 8106852 9746997 10809136 11996304 12995996 16213704 19493994 25991992 32427408 38987988 39237911 51983984 77975976 78475822 82724513 117713733 155951952 156951644 165449026 235427466 248173539 313903288 330898052 470854932 496347078 510092843 627806576 661796104 941709864 992694156 1020185686 1075418669 1323592208 1530278529 1883419728 1985388312 2040371372 2150837338 3060557058 3226256007 3970776624 4080742744 4301674676 6121114116 6452512014 8161485488 8603349352 12242228232 12905024028 12987748541 17206698704 24484456464 25810048056 25975497082 38963245623 51620096112 51950994164 77926491246 103901988328 155852982492 168840731033 207803976656 311705964984 337681462066 506522193099 623411929968 675362924132 1013044386198 1350725848264 2026088772396 2701451696528 4052177544792 8104355089584