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2120849445984 = 253891132196697
BaseRepresentation
bin11110110111001100011…
…110100101010001100000
321111202021122101210021220
4132313030132211101200
5234221444424232414
64302145500015040
7306140424563253
oct36671436452140
97452248353256
102120849445984
117484a1249285
122a3050231480
13124cc27247a9
147491495309a
153a27c825ca9
hex1edcc7a5460

2120849445984 has 96 divisors (see below), whose sum is σ = 5679606612960. Its totient is φ = 692820344832.

The previous prime is 2120849445859. The next prime is 2120849446021. The reversal of 2120849445984 is 4895449480212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132877 + ... + 2063820.

It is an arithmetic number, because the mean of its divisors is an integer number (59162568885).

Almost surely, 22120849445984 is an apocalyptic number.

2120849445984 is a gapful number since it is divisible by the number (24) 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 2120849445984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839803306480).

2120849445984 is an abundant number, since it is smaller than the sum of its proper divisors (3558757166976).

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

2120849445984 is a wasteful number, since it uses less digits than its factorization.

2120849445984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196912 (or 2196904 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 2120849445984 in words is "two trillion, one hundred twenty billion, eight hundred forty-nine million, four hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 113 178 226 267 339 356 452 534 678 712 904 1068 1356 1424 1808 2136 2712 2848 3616 4272 5424 8544 10057 10848 20114 30171 40228 60342 80456 120684 160912 241368 321824 482736 965472 2196697 4393394 6590091 8786788 13180182 17573576 26360364 35147152 52720728 70294304 105441456 195506033 210882912 248226761 391012066 496453522 586518099 744680283 782024132 992907044 1173036198 1489360566 1564048264 1985814088 2346072396 2978721132 3128096528 3971628176 4692144792 5957442264 6256193056 7943256352 9384289584 11914884528 18768579168 22092181729 23829769056 44184363458 66276545187 88368726916 132553090374 176737453832 265106180748 353474907664 530212361496 706949815328 1060424722992 2120849445984