Search a number
-
+
85834171555488 = 253399345105967
BaseRepresentation
bin10011100001000011010011…
…010011100001111010100000
3102020220122222222220202202000
4103201003103103201322200
542222301340404233423
6502315401332324000
724036212534114646
oct2341032323417240
9366818888822660
1085834171555488
1125393082172844
1297632a2473600
1338b8187594965
14172a578b5b196
159dcb253d7843
hex4e10d34e1ea0

85834171555488 has 48 divisors (see below), whose sum is σ = 250349667039360. Its totient is φ = 28611390518208.

The previous prime is 85834171555439. The next prime is 85834171555507. The reversal of 85834171555488 is 88455517143858.

85834171555488 is a `hidden beast` number, since 8 + 5 + 8 + 3 + 4 + 1 + 71 + 5 + 5 + 548 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 49672552120 + ... + 49672553847.

It is an arithmetic number, because the mean of its divisors is an integer number (5215618063320).

Almost surely, 285834171555488 is an apocalyptic number.

It is an amenable number.

85834171555488 is an abundant number, since it is smaller than the sum of its proper divisors (164515495483872).

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

85834171555488 is a wasteful number, since it uses less digits than its factorization.

85834171555488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99345105986 (or 99345105972 counting only the distinct ones).

The product of its digits is 860160000, while the sum is 72.

The spelling of 85834171555488 in words is "eighty-five trillion, eight hundred thirty-four billion, one hundred seventy-one million, five hundred fifty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 99345105967 198690211934 298035317901 397380423868 596070635802 794760847736 894105953703 1192141271604 1589521695472 1788211907406 2384282543208 2682317861109 3179043390944 3576423814812 4768565086416 5364635722218 7152847629624 9537130172832 10729271444436 14305695259248 21458542888872 28611390518496 42917085777744 85834171555488