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1122540053904 = 24345031721983
BaseRepresentation
bin10000010101011100100…
…110011110010110010000
310222022110202011010220000
4100111130212132112100
5121342430223211104
62215404321050000
7144046406011263
oct20253446362620
93868422133800
101122540053904
113a3080661115
12161680486900
1381b16797589
143c48cc68cda
151e2ee70a639
hex1055c99e590

1122540053904 has 100 divisors (see below), whose sum is σ = 3255417639936. Its totient is φ = 373435904448.

The previous prime is 1122540053903. The next prime is 1122540053939. The reversal of 1122540053904 is 4093500452211.

1122540053904 is a `hidden beast` number, since 1 + 1 + 22 + 540 + 0 + 5 + 3 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1122540053903) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 209104 + ... + 1512879.

Almost surely, 21122540053904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122540053904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627708819968).

1122540053904 is an abundant number, since it is smaller than the sum of its proper divisors (2132877586032).

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

1122540053904 is a wasteful number, since it uses less digits than its factorization.

1122540053904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722506 (or 1722491 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1122540053904 in words is "one trillion, one hundred twenty-two billion, five hundred forty million, fifty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 503 648 1006 1296 1509 2012 3018 4024 4527 6036 8048 9054 12072 13581 18108 24144 27162 36216 40743 54324 72432 81486 108648 162972 217296 325944 651888 1721983 3443966 5165949 6887932 10331898 13775864 15497847 20663796 27551728 30995694 41327592 46493541 61991388 82655184 92987082 123982776 139480623 185974164 247965552 278961246 371948328 557922492 743896656 866157449 1115844984 1732314898 2231689968 2598472347 3464629796 5196944694 6929259592 7795417041 10393889388 13858519184 15590834082 20787778776 23386251123 31181668164 41575557552 46772502246 62363336328 70158753369 93545004492 124726672656 140317506738 187090008984 280635013476 374180017968 561270026952 1122540053904