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1990830697024 = 26132135672
BaseRepresentation
bin11100111110000110110…
…000011010101001000000
321001022200102011222221011
4130332012300122221000
5230104210124301044
64122324111010304
7263555432500231
oct34760660325100
97038612158834
101990830697024
116a8341033844
12281a05209994
131159719b7100
146c4dcba7088
1536bbd00c134
hex1cf86c1aa40

1990830697024 has 63 divisors (see below), whose sum is σ = 4278134881737. Its totient is φ = 918777210624.

The previous prime is 1990830696997. The next prime is 1990830697027. The reversal of 1990830697024 is 4207960380991.

The square root of 1990830697024 is 1410968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 294501582400 + 1696329114624 = 542680^2 + 1302432^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1990830697024.

It is not an unprimeable number, because it can be changed into a prime (1990830697027) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 146733889 + ... + 146747455.

Almost surely, 21990830697024 is an apocalyptic number.

1990830697024 is the 1410968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1990830697024

1990830697024 is an abundant number, since it is smaller than the sum of its proper divisors (2287304184713).

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

1990830697024 is an frugal number, since it uses more digits than its factorization.

1990830697024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27172 (or 13582 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 58.

The spelling of 1990830697024 in words is "one trillion, nine hundred ninety billion, eight hundred thirty million, six hundred ninety-seven thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10816 13567 27134 54268 108536 176371 217072 352742 434144 705484 868288 1410968 2292823 2821936 4585646 5643872 9171292 11287744 18342584 36685168 73370336 146740672 184063489 368126978 736253956 1472507912 2392825357 2945015824 4785650714 5890031648 9571301428 11780063296 19142602856 31106729641 38285205712 62213459282 76570411424 124426918564 153140822848 248853837128 497707674256 995415348512 1990830697024