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1074461102316 = 223275972266687
BaseRepresentation
bin11111010001010101101…
…11110101000011101100
310210201101001010100021100
433220222313311003230
5120100444020233231
62141333422203100
7140425101451620
oct17505267650354
93721331110240
101074461102316
11384749310188
121542a2a23490
137a423a1aab4
143a00b721180
151ce388301e6
hexfa2adf50ec

1074461102316 has 72 divisors (see below), whose sum is σ = 3156608931840. Its totient is φ = 301785680736.

The previous prime is 1074461102303. The next prime is 1074461102333. The reversal of 1074461102316 is 6132011644701.

1074461102316 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 4 + 611 + 0 + 2 + 31 + 6 = 666.

It is a super-2 number, since 2×10744611023162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36118476 + ... + 36148211.

It is an arithmetic number, because the mean of its divisors is an integer number (43841790720).

Almost surely, 21074461102316 is an apocalyptic number.

It is an amenable number.

1074461102316 is an abundant number, since it is smaller than the sum of its proper divisors (2082147829524).

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

1074461102316 is a wasteful number, since it uses less digits than its factorization.

1074461102316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72266763 (or 72266758 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1074461102316 in words is "one trillion, seventy-four billion, four hundred sixty-one million, one hundred two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 1062 1239 1652 2124 2478 3717 4956 7434 14868 72266687 144533374 216800061 289066748 433600122 505866809 650400183 867200244 1011733618 1300800366 1517600427 2023467236 2601600732 3035200854 4263734533 4552801281 6070401708 8527469066 9105602562 12791203599 17054938132 18211205124 25582407198 29846141731 38373610797 51164814396 59692283462 76747221594 89538425193 119384566924 153494443188 179076850386 268615275579 358153700772 537230551158 1074461102316