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2120731664 = 2419371671129
BaseRepresentation
bin111111001100111…
…1100110000010000
312110210112022221012
41332121330300100
513320401403124
6550234350052
7103360631102
oct17631746020
95423468835
102120731664
119991090a7
124b228b328
1327a49930c
14161925572
15c62aee0e
hex7e67cc10

2120731664 has 80 divisors (see below), whose sum is σ = 4472630400. Its totient is φ = 970693632.

The previous prime is 2120731651. The next prime is 2120731699. The reversal of 2120731664 is 4661370212.

It is a self number, because there is not a number n which added to its sum of digits gives 2120731664.

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, 1877852 + ... + 1878980.

It is an arithmetic number, because the mean of its divisors is an integer number (55907880).

Almost surely, 22120731664 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 2120731664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236315200).

2120731664 is an abundant number, since it is smaller than the sum of its proper divisors (2351898736).

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

2120731664 is a wasteful number, since it uses less digits than its factorization.

2120731664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 2120731664 is about 46051.4024107844. The cubic root of 2120731664 is about 1284.7794266792.

The spelling of 2120731664 in words is "two billion, one hundred twenty million, seven hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 167 296 304 334 592 668 703 1129 1336 1406 2258 2672 2812 3173 4516 5624 6179 6346 9032 11248 12358 12692 18064 21451 24716 25384 41773 42902 49432 50768 83546 85804 98864 117401 167092 171608 188543 234802 334184 343216 377086 469604 668368 754172 793687 939208 1508344 1587374 1878416 3016688 3174748 3582317 6349496 6976091 7164634 12698992 13952182 14329268 27904364 28658536 55808728 57317072 111617456 132545729 265091458 530182916 1060365832 2120731664