Search a number
-
+
2155037304552 = 23311233166321067
BaseRepresentation
bin11111010111000010001…
…110111010011011101000
321122000112020212221121220
4133113002032322123220
5240302004022221202
64330002132302040
7311460555564306
oct37270216723350
97560466787556
102155037304552
11760a45416450
122a97b1771920
131282b06040c2
1476439253276
153b0cde31abc
hex1f5c23ba6e8

2155037304552 has 128 divisors (see below), whose sum is σ = 5906428968960. Its totient is φ = 649817003520.

The previous prime is 2155037304547. The next prime is 2155037304577. The reversal of 2155037304552 is 2554037305512.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102283923 + ... + 102304989.

It is an arithmetic number, because the mean of its divisors is an integer number (46143976320).

Almost surely, 22155037304552 is an apocalyptic number.

2155037304552 is a gapful number since it is divisible by the number (22) 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 2155037304552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953214484480).

2155037304552 is an abundant number, since it is smaller than the sum of its proper divisors (3751391664408).

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

2155037304552 is a wasteful number, since it uses less digits than its factorization.

2155037304552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22983 (or 22979 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 42.

The spelling of 2155037304552 in words is "two trillion, one hundred fifty-five billion, thirty-seven million, three hundred four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 233 264 466 699 932 1398 1663 1864 2563 2796 3326 4989 5126 5592 6652 7689 9978 10252 13304 15378 18293 19956 20504 21067 30756 36586 39912 42134 54879 61512 63201 73172 84268 109758 126402 146344 168536 219516 231737 252804 387479 439032 463474 505608 695211 774958 926948 1162437 1390422 1549916 1853896 2324874 2780844 3099832 4262269 4649748 4908611 5561688 8524538 9299496 9817222 12786807 14725833 17049076 19634444 25573614 29451666 34098152 35034421 39268888 51147228 53994721 58903332 70068842 102294456 105103263 107989442 117806664 140137684 161984163 210206526 215978884 280275368 323968326 385378631 420413052 431957768 647936652 770757262 840826104 1156135893 1295873304 1541514524 2312271786 3083029048 4624543572 8163020093 9249087144 16326040186 24489060279 32652080372 48978120558 65304160744 89793221023 97956241116 179586442046 195912482232 269379663069 359172884092 538759326138 718345768184 1077518652276 2155037304552