Search a number
-
+
93129534209632 = 2529829121055611
BaseRepresentation
bin10101001011001101101000…
…110011011111111001100000
3110012202002121100211012021011
4111023031220303133321200
544201313241224202012
6530023041204510304
725421246450403004
oct2513155063377140
9405662540735234
1093129534209632
11277460171a7848
12a5411646ab394
133cc710105714b
1418dd6ca276704
15ab77a60c71a7
hex54b368cdfe60

93129534209632 has 48 divisors (see below), whose sum is σ = 189899938544400. Its totient is φ = 44904852195840.

The previous prime is 93129534209629. The next prime is 93129534209659. The reversal of 93129534209632 is 23690243592139.

It is a super-2 number, since 2×931295342096322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

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, 59758494 + ... + 61297117.

It is an arithmetic number, because the mean of its divisors is an integer number (3956248719675).

Almost surely, 293129534209632 is an apocalyptic number.

It is an amenable number.

93129534209632 is an abundant number, since it is smaller than the sum of its proper divisors (96770404334768).

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

93129534209632 is a wasteful number, since it uses less digits than its factorization.

93129534209632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121056479 (or 121056471 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 58.

The spelling of 93129534209632 in words is "ninety-three trillion, one hundred twenty-nine billion, five hundred thirty-four million, two hundred nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 829 928 1658 3316 6632 13264 24041 26528 48082 96164 192328 384656 769312 121055611 242111222 484222444 968444888 1936889776 3510612719 3873779552 7021225438 14042450876 28084901752 56169803504 100355101519 112339607008 200710203038 401420406076 802840812152 1605681624304 2910297944051 3211363248608 5820595888102 11641191776204 23282383552408 46564767104816 93129534209632