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8216399376 = 2433374710937
BaseRepresentation
bin1111010011011110…
…00100111000010000
3210012121121100001000
413221233010320100
5113311344240001
63435145542000
7410416146063
oct75157047020
923177540030
108216399376
113536a41509
1217137a4900
13a0c31c9a3
1457d3188da
153314e3a86
hex1e9bc4e10

8216399376 has 160 divisors (see below), whose sum is σ = 24739130880. Its totient is φ = 2607842304.

The previous prime is 8216399369. The next prime is 8216399377. The reversal of 8216399376 is 6739936128.

8216399376 is a `hidden beast` number, since 8 + 216 + 399 + 37 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8216399377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 745780 + ... + 756716.

It is an arithmetic number, because the mean of its divisors is an integer number (154619568).

Almost surely, 28216399376 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 8216399376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12369565440).

8216399376 is an abundant number, since it is smaller than the sum of its proper divisors (16522731504).

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

8216399376 is a wasteful number, since it uses less digits than its factorization.

8216399376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11038 (or 11026 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 8216399376 is about 90644.3565590269. The cubic root of 8216399376 is about 2017.8730820111.

The spelling of 8216399376 in words is "eight billion, two hundred sixteen million, three hundred ninety-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 47 48 54 72 74 94 108 111 141 144 148 188 216 222 282 296 333 376 423 432 444 564 592 666 752 846 888 999 1128 1269 1332 1692 1739 1776 1998 2256 2538 2664 3384 3478 3996 5076 5217 5328 6768 6956 7992 10152 10434 10937 13912 15651 15984 20304 20868 21874 27824 31302 32811 41736 43748 46953 62604 65622 83472 87496 93906 98433 125208 131244 174992 187812 196866 250416 262488 295299 375624 393732 404669 514039 524976 590598 751248 787464 809338 1028078 1181196 1214007 1542117 1574928 1618676 2056156 2362392 2428014 3084234 3237352 3642021 4112312 4626351 4724784 4856028 6168468 6474704 7284042 8224624 9252702 9712056 10926063 12336936 13879053 14568084 18505404 19019443 19424112 21852126 24673872 27758106 29136168 37010808 38038886 43704252 55516212 57058329 58272336 74021616 76077772 87408504 111032424 114116658 152155544 171174987 174817008 222064848 228233316 304311088 342349974 456466632 513524961 684699948 912933264 1027049922 1369399896 2054099844 2738799792 4108199688 8216399376