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147065079864672 = 2532810163034519
BaseRepresentation
bin100001011100000101000001…
…110110000001110101100000
3201021201021200021110012000200
4201130011001312001311200
5123234003240421132142
61240440433123545200
742656046530212134
oct4134050166016540
9637637607405020
10147065079864672
114294aa4a672112
12145b224582b200
13640a240038698
142845db89073c4
1512007783bd64c
hex85c141d81d60

147065079864672 has 72 divisors (see below), whose sum is σ = 418267952771760. Its totient is φ = 49015641196800.

The previous prime is 147065079864629. The next prime is 147065079864691. The reversal of 147065079864672 is 276468970560741.

147065079864672 is a `hidden beast` number, since 1 + 4 + 7 + 0 + 6 + 507 + 9 + 8 + 6 + 46 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 147065079864672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29184172 + ... + 33850347.

It is an arithmetic number, because the mean of its divisors is an integer number (5809277121830).

Almost surely, 2147065079864672 is an apocalyptic number.

147065079864672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

147065079864672 is an abundant number, since it is smaller than the sum of its proper divisors (271202872907088).

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

147065079864672 is a wasteful number, since it uses less digits than its factorization.

147065079864672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63042636 (or 63042625 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 147065079864672 in words is "one hundred forty-seven trillion, sixty-five billion, seventy-nine million, eight hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8101 16202 24303 32404 48606 64808 72909 97212 129616 145818 194424 259232 291636 388848 583272 777696 1166544 2333088 63034519 126069038 189103557 252138076 378207114 504276152 567310671 756414228 1008552304 1134621342 1512828456 2017104608 2269242684 3025656912 4538485368 6051313824 9076970736 18153941472 510642638419 1021285276838 1531927915257 2042570553676 3063855830514 4085141107352 4595783745771 6127711661028 8170282214704 9191567491542 12255423322056 16340564429408 18383134983084 24510846644112 36766269966168 49021693288224 73532539932336 147065079864672