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55055660112 = 2432809472597
BaseRepresentation
bin110011010001100100…
…101011010001010000
312021002220221022111200
4303101210223101100
51400223222110422
641143041511200
73656221250415
oct632144532120
9167086838450
1055055660112
1121392537352
12a806042500
1352652b909b
142943d6010c
1516736432ac
hexcd192b450

55055660112 has 60 divisors (see below), whose sum is σ = 154270165140. Its totient is φ = 18329163264.

The previous prime is 55055660111. The next prime is 55055660113. The reversal of 55055660112 is 21106655055.

It is an interprime number because it is at equal distance from previous prime (55055660111) and next prime (55055660113).

It can be written as a sum of positive squares in 2 ways, for example, as 49807526976 + 5248133136 = 223176^2 + 72444^2 .

It is a super-2 number, since 2×550556601122 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55055660111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119803 + ... + 352794.

It is an arithmetic number, because the mean of its divisors is an integer number (2571169419).

Almost surely, 255055660112 is an apocalyptic number.

It is an amenable number.

55055660112 is an abundant number, since it is smaller than the sum of its proper divisors (99214505028).

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

55055660112 is a wasteful number, since it uses less digits than its factorization.

55055660112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473420 (or 473411 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 55055660112 in words is "fifty-five billion, fifty-five million, six hundred sixty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 809 1618 2427 3236 4854 6472 7281 9708 12944 14562 19416 29124 38832 58248 116496 472597 945194 1417791 1890388 2835582 3780776 4253373 5671164 7561552 8506746 11342328 17013492 22684656 34026984 68053968 382330973 764661946 1146992919 1529323892 2293985838 3058647784 3440978757 4587971676 6117295568 6881957514 9175943352 13763915028 18351886704 27527830056 55055660112