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105669898428432 = 24313732319764191
BaseRepresentation
bin11000000001101100110000…
…110000100110000000010000
3111212010221110220111210001210
4120001230300300212000100
5102322243422444202212
61012424025311300120
731154253406453152
oct3001546060460020
9455127426453053
10105669898428432
1130740396944058
12ba2764b21a640
1346c682323b120
141c14643b74ad2
15c33ab35a953c
hex601b30c26010

105669898428432 has 80 divisors (see below), whose sum is σ = 298006187161088. Its totient is φ = 32068420162560.

The previous prime is 105669898428383. The next prime is 105669898428467. The reversal of 105669898428432 is 234824898966501.

It is a super-2 number, since 2×1056698984284322 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1159836544 + ... + 1159927647.

Almost surely, 2105669898428432 is an apocalyptic number.

105669898428432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105669898428432 is an abundant number, since it is smaller than the sum of its proper divisors (192336288732656).

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

105669898428432 is a wasteful number, since it uses less digits than its factorization.

105669898428432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319764288 (or 2319764282 counting only the distinct ones).

The product of its (nonzero) digits is 1433272320, while the sum is 75.

The spelling of 105669898428432 in words is "one hundred five trillion, six hundred sixty-nine billion, eight hundred ninety-eight million, four hundred twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 73 78 104 146 156 208 219 292 312 438 584 624 876 949 1168 1752 1898 2847 3504 3796 5694 7592 11388 15184 22776 45552 2319764191 4639528382 6959292573 9279056764 13918585146 18558113528 27837170292 30156934483 37116227056 55674340584 60313868966 90470803449 111348681168 120627737932 169342785943 180941606898 241255475864 338685571886 361883213796 482510951728 508028357829 677371143772 723766427592 1016056715658 1354742287544 1447532855184 2032113431316 2201456217259 2709484575088 4064226862632 4402912434518 6604368651777 8128453725264 8805824869036 13208737303554 17611649738072 26417474607108 35223299476144 52834949214216 105669898428432