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1012376296944 = 243244361325889
BaseRepresentation
bin11101011101101100101…
…01000101110111110000
310120210010020121110012100
432232312111011313300
5113041321313000234
62053025041300400
7133066425353265
oct16566625056760
93523106543170
101012376296944
1136038a032a81
12144256934700
137460b392b7c
1436ddc01926c
151b503067399
hexebb6545df0

1012376296944 has 120 divisors (see below), whose sum is σ = 2844385380720. Its totient is φ = 336134762496.

The previous prime is 1012376296903. The next prime is 1012376296963. The reversal of 1012376296944 is 4496926732101.

1012376296944 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 7 + 629 + 6 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×10123762969442 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39091552 + ... + 39117440.

It is an arithmetic number, because the mean of its divisors is an integer number (23703211506).

Almost surely, 21012376296944 is an apocalyptic number.

It is an amenable number.

1012376296944 is an abundant number, since it is smaller than the sum of its proper divisors (1832009083776).

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

1012376296944 is a wasteful number, since it uses less digits than its factorization.

1012376296944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26959 (or 26950 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1012376296944 in words is "one trillion, twelve billion, three hundred seventy-six million, two hundred ninety-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 443 613 886 1226 1329 1772 1839 2452 2658 3544 3678 3987 4904 5316 5517 7088 7356 7974 9808 10632 11034 14712 15948 21264 22068 25889 29424 31896 44136 51778 63792 77667 88272 103556 155334 207112 233001 271559 310668 414224 466002 543118 621336 814677 932004 1086236 1242672 1629354 1864008 2172472 2444031 3258708 3728016 4344944 4888062 6517416 9776124 11468827 13034832 15869957 19552248 22937654 31739914 34406481 39104496 45875308 47609871 63479828 68812962 91750616 95219742 103219443 126959656 137625924 142829613 183501232 190439484 206438886 253919312 275251848 285659226 380878968 412877772 550503696 571318452 761757936 825755544 1142636904 1651511088 2285273808 7030390951 14060781902 21091172853 28121563804 42182345706 56243127608 63273518559 84364691412 112486255216 126547037118 168729382824 253094074236 337458765648 506188148472 1012376296944