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73413147012 = 223292295691619
BaseRepresentation
bin100010001011111000…
…0111011100110000100
321000111021210021100220
41010113300323212010
52200322231201022
653420414304340
75206150311402
oct1042760734604
9230437707326
1073413147012
1129152897a27
1212289ab80b0
136bcc5c457a
1437a6046472
151d9a0b385c
hex1117c3b984

73413147012 has 96 divisors (see below), whose sum is σ = 178400880000. Its totient is φ = 23468196864.

The previous prime is 73413146977. The next prime is 73413147029. The reversal of 73413147012 is 21074131437.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45343939 + ... + 45345557.

It is an arithmetic number, because the mean of its divisors is an integer number (1858342500).

Almost surely, 273413147012 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 73413147012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89200440000).

73413147012 is an abundant number, since it is smaller than the sum of its proper divisors (104987732988).

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

73413147012 is a wasteful number, since it uses less digits than its factorization.

73413147012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

Adding to 73413147012 its reverse (21074131437), we get a palindrome (94487278449).

The spelling of 73413147012 in words is "seventy-three billion, four hundred thirteen million, one hundred forty-seven thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 229 348 458 569 687 916 1138 1374 1619 1707 2276 2748 3238 3414 4857 6476 6641 6828 9714 13282 16501 19428 19923 26564 33002 39846 46951 49503 66004 79692 93902 99006 130301 140853 187804 198012 260602 281706 370751 390903 521204 563412 741502 781806 921211 1112253 1483004 1563612 1842422 2224506 2763633 3684844 3778729 4449012 5527266 7557458 10751779 11054532 11336187 15114916 21503558 22672374 26715119 32255337 43007116 45344748 53430238 64510674 80145357 106860476 129021348 160290714 210957319 320581428 421914638 632871957 843829276 1265743914 2531487828 6117762251 12235524502 18353286753 24471049004 36706573506 73413147012