Search a number
-
+
86377473522 = 2364321792
BaseRepresentation
bin101000001110001111…
…1111010010111110010
322020221210110022000000
41100130133322113302
52403400113123042
6103403053010430
76145341260604
oct1203437722762
9266853408000
1086377473522
11336a591735a
12148a7783a16
1381b7485aa2
144275b67174
1523a831a74c
hex141c7fa5f2

86377473522 has 126 divisors (see below), whose sum is σ = 200000483487. Its totient is φ = 27965787192.

The previous prime is 86377473517. The next prime is 86377473529. The reversal of 86377473522 is 22537477368.

86377473522 is a `hidden beast` number, since 8 + 6 + 3 + 77 + 47 + 3 + 522 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43188736761 + 43188736761 = 207819^2 + 207819^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=207819.

It is a super-2 number, since 2×863774735222 (a number of 23 digits) contains 22 as substring.

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 (86377473529) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 482555629 + ... + 482555807.

Almost surely, 286377473522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86377473522

86377473522 is an abundant number, since it is smaller than the sum of its proper divisors (113623009965).

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

86377473522 is an frugal number, since it uses more digits than its factorization.

86377473522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 227 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The spelling of 86377473522 in words is "eighty-six billion, three hundred seventy-seven million, four hundred seventy-three thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 179 243 258 358 387 486 537 729 774 1074 1161 1458 1611 1849 2322 3222 3483 3698 4833 5547 6966 7697 9666 10449 11094 14499 15394 16641 20898 23091 28998 31347 32041 33282 43497 46182 49923 62694 64082 69273 86994 96123 99846 130491 138546 149769 192246 207819 260982 288369 299538 330971 415638 449307 576738 623457 661942 865107 898614 992913 1246914 1347921 1377763 1730214 1870371 1985826 2595321 2695842 2755526 2978739 3740742 4133289 5190642 5611113 5957478 7785963 8266578 8936217 11222226 12399867 15571926 17872434 23357889 24799734 26808651 37199601 46715778 53617302 59243809 74399202 80425953 111598803 118487618 160851906 177731427 223197606 241277859 334796409 355462854 482555718 533194281 669592818 1004389227 1066388562 1599582843 2008778454 3199165686 4798748529 9597497058 14396245587 28792491174 43188736761 86377473522