Search a number
-
+
1104851171328 = 21131213148249
BaseRepresentation
bin10000000100111110010…
…000101111100000000000
310220121210222101210201220
4100010332100233200000
5121100213344440303
62203321150555040
7142552146001122
oct20047620574000
93817728353656
101104851171328
113966237568a3
1215a164508a80
1380257b58158
143b6918a7212
151db1680a053
hex1013e42f800

1104851171328 has 96 divisors (see below), whose sum is σ = 2947998690000. Its totient is φ = 367977627648.

The previous prime is 1104851171323. The next prime is 1104851171339. The reversal of 1104851171328 is 8231711584011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11048511713282 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1104851171328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104851171323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7378548 + ... + 7526796.

Almost surely, 21104851171328 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 1104851171328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473999345000).

1104851171328 is an abundant number, since it is smaller than the sum of its proper divisors (1843147518672).

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

1104851171328 is a wasteful number, since it uses less digits than its factorization.

1104851171328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149487 (or 149467 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 42.

The spelling of 1104851171328 in words is "one trillion, one hundred four billion, eight hundred fifty-one million, one hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1213 1536 2048 2426 3072 3639 4852 6144 7278 9704 14556 19408 29112 38816 58224 77632 116448 148249 155264 232896 296498 310528 444747 465792 592996 621056 889494 931584 1185992 1242112 1778988 1863168 2371984 2484224 3557976 3726336 4743968 7115952 7452672 9487936 14231904 18975872 28463808 37951744 56927616 75903488 113855232 151806976 179826037 227710464 303613952 359652074 455420928 539478111 719304148 910841856 1078956222 1438608296 2157912444 2877216592 4315824888 5754433184 8631649776 11508866368 17263299552 23017732736 34526599104 46035465472 69053198208 92070930944 138106396416 184141861888 276212792832 368283723776 552425585664 1104851171328