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2330153055872 = 27171277838561
BaseRepresentation
bin100001111010000111111…
…100011111011010000000
322020202112101001211021022
4201322013330133122000
5301134123140241442
64542242454445012
7330230236114325
oct41720774373200
98222471054238
102330153055872
11819237720274
12317723663768
1313b96a386b75
1480acc4bcb4c
154092c94a3d2
hex21e87f1f680

2330153055872 has 64 divisors (see below), whose sum is σ = 4919021463240. Its totient is φ = 1095682621440.

The previous prime is 2330153055859. The next prime is 2330153055877. The reversal of 2330153055872 is 2785503510332.

2330153055872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2326064220736 + 4088835136 = 1525144^2 + 63944^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×23301530558722 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2330153055877) 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, 2359472 + ... + 3198032.

Almost surely, 22330153055872 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 2330153055872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459510731620).

2330153055872 is an abundant number, since it is smaller than the sum of its proper divisors (2588868407368).

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

2330153055872 is a wasteful number, since it uses less digits than its factorization.

2330153055872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839869 (or 839857 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 44.

The spelling of 2330153055872 in words is "two trillion, three hundred thirty billion, one hundred fifty-three million, fifty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 1277 2176 2554 5108 10216 20432 21709 40864 43418 81728 86836 163456 173672 347344 694688 838561 1389376 1677122 2778752 3354244 6708488 13416976 14255537 26833952 28511074 53667904 57022148 107335808 114044296 228088592 456177184 912354368 1070842397 1824708736 2141684794 4283369588 8566739176 17133478352 18204320749 34266956704 36408641498 68533913408 72817282996 137067826816 145634565992 291269131984 582538263968 1165076527936 2330153055872