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30156406336 = 26744432
BaseRepresentation
bin11100000101011101…
…100011111001000000
32212211122121011112101
4130011131203321000
5443230020000321
621504220240144
72115206140000
oct340535437100
985748534471
1030156406336
1111875561471
125a173a0054
132ac78c7c24
141661120000
15bb7721791
hex705763e40

30156406336 has 105 divisors (see below), whose sum is σ = 69969010811. Its totient is φ = 12894999936.

The previous prime is 30156406321. The next prime is 30156406373. The reversal of 30156406336 is 63360465103.

The square root of 30156406336 is 173656.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 30156406295 and 30156406304.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 68072931 + ... + 68073373.

Almost surely, 230156406336 is an apocalyptic number.

30156406336 is the 173656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30156406336

30156406336 is an abundant number, since it is smaller than the sum of its proper divisors (39812604475).

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

30156406336 is an frugal number, since it uses more digits than its factorization.

30156406336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 37.

The spelling of 30156406336 in words is "thirty billion, one hundred fifty-six million, four hundred six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 443 448 686 784 886 1372 1568 1772 2401 2744 3101 3136 3544 4802 5488 6202 7088 9604 10976 12404 14176 19208 21707 21952 24808 28352 38416 43414 49616 76832 86828 99232 151949 153664 173656 196249 198464 303898 347312 392498 607796 694624 784996 1063643 1215592 1373743 1389248 1569992 2127286 2431184 2747486 3139984 4254572 4862368 5494972 6279968 8509144 9616201 9724736 10989944 12559936 17018288 19232402 21979888 34036576 38464804 43959776 67313407 68073152 76929608 87919552 134626814 153859216 269253628 307718432 471193849 538507256 615436864 942387698 1077014512 1884775396 2154029024 3769550792 4308058048 7539101584 15078203168 30156406336