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2122815980484 = 2233412112272073
BaseRepresentation
bin11110111001000001101…
…100010100001111000100
321111221100200210002111000
4132321001230110033010
5234240011342333414
64303112545413300
7306240234054063
oct36710154241704
97457320702430
102122815980484
11749310308801
122a34ba93a230
13125246c82684
1474a5dbba1da
153a3452c7b09
hex1ee41b143c4

2122815980484 has 96 divisors (see below), whose sum is σ = 5664553130880. Its totient is φ = 687074572800.

The previous prime is 2122815980477. The next prime is 2122815980491. The reversal of 2122815980484 is 4840895182212.

2122815980484 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 8 + 1 + 598 + 0 + 48 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2122815980477) and next prime (2122815980491).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2122815980484.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201729 + ... + 2070344.

It is an arithmetic number, because the mean of its divisors is an integer number (59005761780).

Almost surely, 22122815980484 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 2122815980484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832276565440).

2122815980484 is an abundant number, since it is smaller than the sum of its proper divisors (3541737150396).

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

2122815980484 is a wasteful number, since it uses less digits than its factorization.

2122815980484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272338 (or 2272330 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 2122815980484 in words is "two trillion, one hundred twenty-two billion, eight hundred fifteen million, nine hundred eighty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 211 246 369 422 492 633 738 844 1107 1266 1476 1899 2214 2532 3798 4428 5697 7596 8651 11394 17302 22788 25953 34604 51906 77859 103812 155718 233577 311436 467154 934308 2272073 4544146 6816219 9088292 13632438 20448657 27264876 40897314 61345971 81794628 93154993 122691942 186309986 245383884 279464979 372619972 479407403 558929958 838394937 958814806 1117859916 1438222209 1676789874 1917629612 2515184811 2876444418 3353579748 4314666627 5030369622 5752888836 8629333254 10060739244 12943999881 17258666508 19655703523 25887999762 39311407046 51775999524 58967110569 78622814092 117934221138 176901331707 235868442276 353802663414 530703995121 707605326828 1061407990242 2122815980484