Search a number
-
+
1010983587952 = 241329711533343
BaseRepresentation
bin11101011011000110101…
…00010101000001110000
310120122112011222111121211
432231203110111001300
5113030443244303302
62052234530525504
7133020054465232
oct16554324250160
93518464874554
101010983587952
1135a834974108
12143b28436894
1374448997c00
1436d09084252
151b470b62ad7
hexeb63515070

1010983587952 has 120 divisors (see below), whose sum is σ = 2145413143104. Its totient is φ = 461258883072.

The previous prime is 1010983587919. The next prime is 1010983587989. The reversal of 1010983587952 is 2597853890101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302416393 + ... + 302419735.

Almost surely, 21010983587952 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 1010983587952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072706571552).

1010983587952 is an abundant number, since it is smaller than the sum of its proper divisors (1134429555152).

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

1010983587952 is a wasteful number, since it uses less digits than its factorization.

1010983587952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4627 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 58.

The spelling of 1010983587952 in words is "one trillion, ten billion, nine hundred eighty-three million, five hundred eighty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 97 104 169 194 208 338 388 676 776 1153 1261 1352 1552 2306 2522 2704 3343 4612 5044 6686 9224 10088 13372 14989 16393 18448 20176 26744 29978 32786 43459 53488 59956 65572 86918 111841 119912 131144 173836 194857 223682 239824 262288 324271 347672 389714 447364 564967 648542 695344 779428 894728 1129934 1297084 1453933 1558856 1789456 2259868 2594168 2907866 3117712 3854479 4215523 4519736 5188336 5815732 7708958 8431046 9039472 11631464 15417916 16862092 18901129 23262928 30835832 33724184 37802258 50108227 54801799 61671664 67448368 75604516 100216454 109603598 151209032 200432908 219207196 302418064 373884463 400865816 438414392 651406951 747768926 801731632 876828784 1302813902 1495537852 2605627804 2991075704 4860498019 5211255608 5982151408 9720996038 10422511216 19441992076 38883984152 63186474247 77767968304 126372948494 252745896988 505491793976 1010983587952