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953214300672 = 293641968147
BaseRepresentation
bin11011101111011111111…
…11111111001000000000
310101010102010212122110020
431313233333333020000
5111104140330110142
62005522310333440
7125603352604164
oct15675777771000
93333363778406
10953214300672
1133828a693587
121348a565a280
136bb7043389a
14341c8984ca4
1519bde196cec
hexddeffff200

953214300672 has 80 divisors (see below), whose sum is σ = 2543386757472. Its totient is φ = 317242081280.

The previous prime is 953214300671. The next prime is 953214300683. The reversal of 953214300672 is 276003412359.

It is a super-2 number, since 2×9532143006722 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (953214300671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500503 + ... + 1468649.

Almost surely, 2953214300672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 953214300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271693378736).

953214300672 is an abundant number, since it is smaller than the sum of its proper divisors (1590172456800).

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

953214300672 is an equidigital number, since it uses as much as digits as its factorization.

953214300672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968809 (or 968793 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 953214300672 in words is "nine hundred fifty-three billion, two hundred fourteen million, three hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 641 768 1282 1536 1923 2564 3846 5128 7692 10256 15384 20512 30768 41024 61536 82048 123072 164096 246144 328192 492288 968147 984576 1936294 2904441 3872588 5808882 7745176 11617764 15490352 23235528 30980704 46471056 61961408 92942112 123922816 185884224 247845632 371768448 495691264 620582227 743536896 1241164454 1487073792 1861746681 2482328908 3723493362 4964657816 7446986724 9929315632 14893973448 19858631264 29787946896 39717262528 59575893792 79434525056 119151787584 158869050112 238303575168 317738100224 476607150336 953214300672