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20823668352 = 273312174951
BaseRepresentation
bin10011011001001011…
…111111011010000000
31222202020101221211000
4103121023333122000
5320121324341402
613322151252000
71335013155234
oct233113773200
958666357730
1020823668352
118916466273
12405197a000
131c6b226866
1410178525c4
1581d21ac1c
hex4d92ff680

20823668352 has 128 divisors (see below), whose sum is σ = 61521667200. Its totient is φ = 6934118400.

The previous prime is 20823668303. The next prime is 20823668353. The reversal of 20823668352 is 25386632802.

20823668352 is a `hidden beast` number, since 2 + 0 + 8 + 236 + 68 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 20823668298 and 20823668307.

It is not an unprimeable number, because it can be changed into a prime (20823668353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4203477 + ... + 4208427.

It is an arithmetic number, because the mean of its divisors is an integer number (480638025).

Almost surely, 220823668352 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 20823668352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30760833600).

20823668352 is an abundant number, since it is smaller than the sum of its proper divisors (40697998848).

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

20823668352 is a wasteful number, since it uses less digits than its factorization.

20823668352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6191 (or 6173 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 20823668352 in words is "twenty billion, eight hundred twenty-three million, six hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1217 1728 2434 3456 3651 4868 4951 7302 9736 9902 10953 14604 14853 19472 19804 21906 29208 29706 32859 38944 39608 43812 44559 58416 59412 65718 77888 79216 87624 89118 116832 118824 131436 133677 155776 158432 175248 178236 233664 237648 262872 267354 316864 350496 356472 467328 475296 525744 534708 633728 700992 712944 950592 1051488 1069416 1401984 1425888 1901184 2102976 2138832 2851776 4205952 4277664 5703552 6025367 8555328 12050734 17110656 18076101 24101468 36152202 48202936 54228303 72304404 96405872 108456606 144608808 162684909 192811744 216913212 289217616 325369818 385623488 433826424 578435232 650739636 771246976 867652848 1156870464 1301479272 1735305696 2313740928 2602958544 3470611392 5205917088 6941222784 10411834176 20823668352