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86784297984 = 2103243218993
BaseRepresentation
bin101000011010010111…
…1110100110000000000
322022000010222010020200
41100310233310300000
52410213240013414
6103511304405200
76161411235006
oct1206457646000
9268003863220
1086784297984
113389452361a
121499ba76800
138250846717
1442b3bc6a76
1523cddcb109
hex1434bf4c00

86784297984 has 132 divisors (see below), whose sum is σ = 256416570696. Its totient is φ = 28255223808.

The previous prime is 86784297961. The next prime is 86784298001. The reversal of 86784297984 is 48979248768.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286792 + ... + 505784.

It is an arithmetic number, because the mean of its divisors is an integer number (1942549778).

Almost surely, 286784297984 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 86784297984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128208285348).

86784297984 is an abundant number, since it is smaller than the sum of its proper divisors (169632272712).

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

86784297984 is a wasteful number, since it uses less digits than its factorization.

86784297984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219062 (or 219041 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 72.

The spelling of 86784297984 in words is "eighty-six billion, seven hundred eighty-four million, two hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 512 516 576 688 768 774 1024 1032 1152 1376 1536 1548 2064 2304 2752 3072 3096 4128 4608 5504 6192 8256 9216 11008 12384 16512 22016 24768 33024 44032 49536 66048 99072 132096 198144 218993 396288 437986 656979 875972 1313958 1751944 1970937 2627916 3503888 3941874 5255832 7007776 7883748 9416699 10511664 14015552 15767496 18833398 21023328 28031104 28250097 31534992 37666796 42046656 56062208 56500194 63069984 75333592 84093312 84750291 112124416 113000388 126139968 150667184 168186624 169500582 224248832 226000776 252279936 301334368 336373248 339001164 452001552 504559872 602668736 672746496 678002328 904003104 1009119744 1205337472 1356004656 1808006208 2018239488 2410674944 2712009312 3616012416 4821349888 5424018624 7232024832 9642699776 10848037248 14464049664 21696074496 28928099328 43392148992 86784297984