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1131055472772 = 223431229491747
BaseRepresentation
bin10000011101011000001…
…010001110000010000100
311000010110012102020120000
4100131120022032002010
5122012400200112042
62223333312041300
7144500415614331
oct20353012160204
94003405366500
101131055472772
113a6750367375
12163258233230
1382872a30974
143ca59b7d988
151e64c0b774c
hex1075828e084

1131055472772 has 120 divisors (see below), whose sum is σ = 3065517692160. Its totient is φ = 363262605120.

The previous prime is 1131055472761. The next prime is 1131055472831. The reversal of 1131055472772 is 2772745501311.

1131055472772 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 0 + 554 + 7 + 27 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2054203 + ... + 2545949.

It is an arithmetic number, because the mean of its divisors is an integer number (25545980768).

Almost surely, 21131055472772 is an apocalyptic number.

1131055472772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131055472772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532758846080).

1131055472772 is an abundant number, since it is smaller than the sum of its proper divisors (1934462219388).

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

1131055472772 is a wasteful number, since it uses less digits than its factorization.

1131055472772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492023 (or 492012 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 1131055472772 in words is "one trillion, one hundred thirty-one billion, fifty-five million, four hundred seventy-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 229 279 324 372 458 558 687 837 916 1116 1374 1674 2061 2511 2748 3348 4122 5022 6183 7099 8244 10044 12366 14198 18549 21297 24732 28396 37098 42594 63891 74196 85188 127782 191673 255564 383346 491747 575019 766692 983494 1150038 1475241 1966988 2300076 2950482 4425723 5900964 8851446 13277169 15244157 17702892 26554338 30488314 39831507 45732471 53108676 60976628 79663014 91464942 112610063 137197413 159326028 182929884 225220126 274394826 337830189 411592239 450440252 548789652 675660378 823184478 1013490567 1234776717 1351320756 1646368956 2026981134 2469553434 3040471701 3490911953 4053962268 4939106868 6080943402 6981823906 9121415103 10472735859 12161886804 13963647812 18242830206 20945471718 31418207577 36485660412 41890943436 62836415154 94254622731 125672830308 188509245462 282763868193 377018490924 565527736386 1131055472772