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1029495154272 = 253131943416631
BaseRepresentation
bin11101111101100101011…
…00010110011001100000
310122102022021202111201020
432332302230112121200
5113331401224414042
62104535450005440
7134243564266314
oct16766254263140
93572267674636
101029495154272
113676741a2952
12147633a16880
1376108ba0050
1437b837d7b44
151bba5dbb3ec
hexefb2b16660

1029495154272 has 96 divisors (see below), whose sum is σ = 3063477553920. Its totient is φ = 300095746560.

The previous prime is 1029495154243. The next prime is 1029495154319. The reversal of 1029495154272 is 2724515949201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21684604 + ... + 21732027.

It is an arithmetic number, because the mean of its divisors is an integer number (31911224520).

Almost surely, 21029495154272 is an apocalyptic number.

1029495154272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1029495154272 is an abundant number, since it is smaller than the sum of its proper divisors (2033982399648).

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

1029495154272 is a wasteful number, since it uses less digits than its factorization.

1029495154272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43416676 (or 43416668 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 1029495154272 in words is "one trillion, twenty-nine billion, four hundred ninety-five million, one hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 11856 23712 43416631 86833262 130249893 173666524 260499786 347333048 520999572 564416203 694666096 824915989 1041999144 1128832406 1389332192 1649831978 1693248609 2083998288 2257664812 2474747967 3299663956 3386497218 4167996576 4515329624 4949495934 6599327912 6772994436 9030659248 9898991868 10723907857 13198655824 13545988872 18061318496 19797983736 21447815714 26397311648 27091977744 32171723571 39595967472 42895631428 54183955488 64343447142 79191934944 85791262856 128686894284 171582525712 257373788568 343165051424 514747577136 1029495154272