Search a number
-
+
1991283264 = 26343112391
BaseRepresentation
bin111011010110000…
…1001001001000000
312010202221200010000
41312230021021000
513034232031024
6525332040000
7100226425365
oct16654111100
95122850100
101991283264
11932033653
12476a63000
13259714929
1414c66a46c
15b9c3ecc9
hex76b09240

1991283264 has 140 divisors (see below), whose sum is σ = 6093691648. Its totient is φ = 642297600.

The previous prime is 1991283251. The next prime is 1991283293. The reversal of 1991283264 is 4623821991.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 154509 + ... + 166899.

Almost surely, 21991283264 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 1991283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046845824).

1991283264 is an abundant number, since it is smaller than the sum of its proper divisors (4102408384).

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

1991283264 is a wasteful number, since it uses less digits than its factorization.

1991283264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12446 (or 12427 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 1991283264 is about 44623.7970594166. The cubic root of 1991283264 is about 1258.0879843899.

The spelling of 1991283264 in words is "one billion, nine hundred ninety-one million, two hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 837 864 992 1116 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 4464 5022 5184 5952 6696 8928 10044 12391 13392 17856 20088 24782 26784 37173 40176 49564 53568 74346 80352 99128 111519 148692 160704 198256 223038 297384 334557 384121 396512 446076 594768 669114 768242 793024 892152 1003671 1152363 1189536 1338228 1536484 1784304 2007342 2304726 2379072 2676456 3072968 3457089 3568608 4014684 4609452 5352912 6145936 6914178 7137216 8029368 9218904 10371267 10705824 12291872 13828356 16058736 18437808 20742534 21411648 24583744 27656712 31113801 32117472 36875616 41485068 55313424 62227602 64234944 73751232 82970136 110626848 124455204 165940272 221253696 248910408 331880544 497820816 663761088 995641632 1991283264