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104574749312680 = 23522921114059977
BaseRepresentation
bin10111110001110000110100…
…110010010000011010101000
3111201021020201002020110112121
4113301300310302100122220
5102201323041311001210
61010224550541121024
731012163526535243
oct2761606462203250
9451236632213477
10104574749312680
11303589a1802209
12b88b353b59174
13464748344217a
141bb7632a3425a
15c153689076da
hex5f1c34c906a8

104574749312680 has 32 divisors (see below), whose sum is σ = 235303453414440. Its totient is φ = 41828074398720.

The previous prime is 104574749312599. The next prime is 104574749312699. The reversal of 104574749312680 is 86213947475401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 91010569682916 + 13564179629764 = 9539946^2 + 3682958^2 .

It is a super-2 number, since 2×1045747493126802 (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 7 ways as a sum of consecutive naturals, for example, 56113149 + ... + 57946828.

It is a 1-persistent number, because it is pandigital, but 2⋅104574749312680 = 209149498625360 is not.

Almost surely, 2104574749312680 is an apocalyptic number.

104574749312680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104574749312680 is an abundant number, since it is smaller than the sum of its proper divisors (130728704101760).

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

104574749312680 is a wasteful number, since it uses less digits than its factorization.

104574749312680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114082909 (or 114082905 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 61.

The spelling of 104574749312680 in words is "one hundred four trillion, five hundred seventy-four billion, seven hundred forty-nine million, three hundred twelve thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 22921 45842 91684 114605 183368 229210 458420 916840 114059977 228119954 456239908 570299885 912479816 1140599770 2281199540 4562399080 2614368732817 5228737465634 10457474931268 13071843664085 20914949862536 26143687328170 52287374656340 104574749312680