Search a number
-
+
10433926181272 = 2311312769160441
BaseRepresentation
bin1001011111010101011001…
…1101101011000110011000
31100221110210020220012101111
42113311112131223012120
52331422140100300042
634105140213030104
72124553263130636
oct227652635530630
940843706805344
1010433926181272
113363004354560
1212061b8925334
135a8bb83a5629
1428100cd56356
15131624ea8517
hex97d5676b198

10433926181272 has 96 divisors (see below), whose sum is σ = 22081600371600. Its totient is φ = 4583706624000.

The previous prime is 10433926181249. The next prime is 10433926181297. The reversal of 10433926181272 is 27218162933401.

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, 64952572 + ... + 65113012.

Almost surely, 210433926181272 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 10433926181272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11040800185800).

10433926181272 is an abundant number, since it is smaller than the sum of its proper divisors (11647674190328).

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

10433926181272 is a wasteful number, since it uses less digits than its factorization.

10433926181272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161289 (or 161254 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 10433926181272 in words is "ten trillion, four hundred thirty-three billion, nine hundred twenty-six million, one hundred eighty-one thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 769 961 1364 1538 1922 2728 3076 3844 6152 7688 8459 10571 16918 21142 23839 33836 42284 47678 67672 84568 95356 160441 190712 262229 320882 524458 641764 739009 1048916 1283528 1478018 1764851 2097832 2956036 3529702 4973671 5912072 7059404 8129099 9947342 14118808 16258198 19894684 32516396 39789368 54710381 65032792 109420762 123379129 154183801 218841524 246758258 308367602 437683048 493516516 616735204 987033032 1233470408 1357170419 1696021811 2714340838 3392043622 3824752999 5428681676 6784087244 7649505998 10857363352 13568174488 15299011996 30598023992 42072282989 84144565978 118567342969 168289131956 237134685938 336578263912 474269371876 948538743752 1304240772659 2608481545318 5216963090636 10433926181272