Search a number
-
+
5476889504992 = 251924713177003
BaseRepresentation
bin100111110110011000000…
…0011011010110011100000
3201101120210211212001102011
41033230300003122303200
51204213132203124432
615352014233402304
71103456266446163
oct117546003326340
921346724761364
105476889504992
111821810386004
1274555b269394
133096122a6409
1414d123557ada
15976ee4ba847
hex4fb300dace0

5476889504992 has 144 divisors (see below), whose sum is σ = 11710999948032. Its totient is φ = 2519702565120.

The previous prime is 5476889504971. The next prime is 5476889504993. The reversal of 5476889504992 is 2994059886745.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5476889504993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71087163 + ... + 71164165.

It is an arithmetic number, because the mean of its divisors is an integer number (81326388528).

Almost surely, 25476889504992 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 5476889504992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855499974016).

5476889504992 is an abundant number, since it is smaller than the sum of its proper divisors (6234110443040).

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

5476889504992 is a wasteful number, since it uses less digits than its factorization.

5476889504992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77229 (or 77202 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 76.

The spelling of 5476889504992 in words is "five trillion, four hundred seventy-six billion, eight hundred eighty-nine million, five hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 19 32 38 47 76 94 131 152 188 262 304 361 376 524 608 722 752 893 1048 1444 1504 1786 2096 2489 2888 3572 4192 4978 5776 6157 7144 9956 11552 12314 14288 16967 19912 24628 28576 33934 39824 47291 49256 67868 77003 79648 94582 98512 116983 135736 154006 189164 197024 233966 271472 308012 378328 467932 542944 616024 756656 935864 1232048 1463057 1513312 1871728 2222677 2464096 2926114 3619141 3743456 4445354 5852228 7238282 8890708 10087393 11704456 14476564 17781416 20174786 23408912 27798083 28953128 35562832 40349572 46817824 55596166 57906256 68763679 71125664 80699144 111192332 115812512 137527358 161398288 191660467 222384664 275054716 322796576 383320934 444769328 474107471 550109432 766641868 889538656 948214942 1100218864 1306509901 1533283736 1896429884 2200437728 2613019802 3066567472 3641548873 3792859768 5226039604 6133134944 7283097746 7585719536 9008041949 10452079208 14566195492 15171439072 18016083898 20904158416 29132390984 36032167796 41808316832 58264781968 72064335592 116529563936 144128671184 171152797031 288257342368 342305594062 684611188124 1369222376248 2738444752496 5476889504992