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1076904290772 = 2232433673102653
BaseRepresentation
bin11111010101111000111…
…11110110100111010100
310210221200022102011202200
433222330133312213110
5120120444444301042
62142420100204500
7140542456303212
oct17527437664724
93727608364680
101076904290772
113857924408a2
12154865099730
137a722c4863b
143a19ddc3cb2
151d02d087c4c
hexfabc7f69d4

1076904290772 has 72 divisors (see below), whose sum is σ = 2732542309224. Its totient is φ = 357603434496.

The previous prime is 1076904290767. The next prime is 1076904290789. The reversal of 1076904290772 is 2770924096701.

It can be written as a sum of positive squares in 4 ways, for example, as 19433475216 + 1057470815556 = 139404^2 + 1028334^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10439398 + ... + 10542050.

It is an arithmetic number, because the mean of its divisors is an integer number (37951976517).

Almost surely, 21076904290772 is an apocalyptic number.

1076904290772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1076904290772 is an abundant number, since it is smaller than the sum of its proper divisors (1655638018452).

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

1076904290772 is a wasteful number, since it uses less digits than its factorization.

1076904290772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103769 (or 103764 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 1076904290772 in words is "one trillion, seventy-six billion, nine hundred four million, two hundred ninety thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 433 673 866 1299 1346 1732 2019 2598 2692 3897 4038 5196 6057 7794 8076 12114 15588 24228 102653 205306 291409 307959 410612 582818 615918 874227 923877 1165636 1231836 1748454 1847754 2622681 3496908 3695508 5245362 10490724 44448749 69085469 88897498 133346247 138170938 177794996 207256407 266692494 276341876 400038741 414512814 533384988 621769221 800077482 829025628 1243538442 1600154964 2487076884 29914008077 59828016154 89742024231 119656032308 179484048462 269226072693 358968096924 538452145386 1076904290772