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1040562365056 = 2729677575527
BaseRepresentation
bin11110010010001100101…
…10011010001010000000
310200110212120200001210221
433021012112122022000
5114022032431140211
62114005554432424
7135115051111054
oct17110626321200
93613776601727
101040562365056
11371333367145
12149802292714
13771809ca796
14385135a1c64
151c1027d4c71
hexf24659a280

1040562365056 has 128 divisors (see below), whose sum is σ = 2179754524800. Its totient is φ = 494099730432.

The previous prime is 1040562365041. The next prime is 1040562365069. The reversal of 1040562365056 is 6505632650401.

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

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, 188266165 + ... + 188271691.

It is an arithmetic number, because the mean of its divisors is an integer number (17029332225).

Almost surely, 21040562365056 is an apocalyptic number.

1040562365056 is a gapful number since it is divisible by the number (16) 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 1040562365056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089877262400).

1040562365056 is an abundant number, since it is smaller than the sum of its proper divisors (1139192159744).

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

1040562365056 is an equidigital number, since it uses as much as digits as its factorization.

1040562365056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6394 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 1040562365056 in words is "one trillion, forty billion, five hundred sixty-two million, three hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 67 116 128 134 232 268 464 536 757 928 1072 1514 1856 1943 2144 3028 3712 3886 4288 5527 6056 7772 8576 11054 12112 15544 21953 22108 24224 31088 43906 44216 48448 50719 62176 87812 88432 96896 101438 124352 160283 175624 176864 202876 248704 320566 351248 353728 370309 405752 641132 702496 707456 740618 811504 1282264 1404992 1470851 1481236 1623008 2564528 2809984 2941702 2962472 3246016 4183939 5129056 5883404 5924944 6492032 8367878 10258112 10738961 11766808 11849888 16735756 20516224 21477922 23533616 23699776 33471512 42955844 47067232 47399552 66943024 85911688 94134464 121334231 133886048 171823376 188268928 242668462 267772096 280323913 343646752 485336924 535544192 560647826 687293504 970673848 1121295652 1374587008 1941347696 2242591304 3882695392 4485182608 7765390784 8129393477 8970365216 15530781568 16258786954 17940730432 32517573908 35881460864 65035147816 130070295632 260140591264 520281182528 1040562365056