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76013361411540 = 22357547513305587
BaseRepresentation
bin10001010010001000111101…
…011001111011010111010100
3100222010210202212000100120220
4101102020331121323113110
534430400331010132130
6425400020043554340
722003532646204630
oct2122107531732724
9328123685010526
1076013361411540
11222470a3941853
128637a94b2b9b0
13335504c288877
1414ab0cddbbdc0
158bc4369c0410
hex45223d67b5d4

76013361411540 has 96 divisors (see below), whose sum is σ = 243247272812544. Its totient is φ = 17374160016000.

The previous prime is 76013361411523. The next prime is 76013361411541. The reversal of 76013361411540 is 4511416331067.

It is a super-2 number, since 2×760133614115402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 76013361411492 and 76013361411501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76013361411541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21342627 + ... + 24648213.

It is an arithmetic number, because the mean of its divisors is an integer number (2533825758464).

Almost surely, 276013361411540 is an apocalyptic number.

76013361411540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76013361411540 is an abundant number, since it is smaller than the sum of its proper divisors (167233911401004).

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

76013361411540 is a wasteful number, since it uses less digits than its factorization.

76013361411540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360357 (or 3360355 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 76013361411540 in words is "seventy-six trillion, thirteen billion, three hundred sixty-one million, four hundred eleven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 54751 109502 164253 219004 273755 328506 383257 547510 657012 766514 821265 1095020 1149771 1533028 1642530 1916285 2299542 3285060 3305587 3832570 4599084 5748855 6611174 7665140 9916761 11497710 13222348 16527935 19833522 22995420 23139109 33055870 39667044 46278218 49583805 66111740 69417327 92556436 99167610 115695545 138834654 198335220 231391090 277669308 347086635 462782180 694173270 1388346540 180984193837 361968387674 542952581511 723936775348 904920969185 1085905163022 1266889356859 1809841938370 2171810326044 2533778713718 2714762907555 3619683876740 3800668070577 5067557427436 5429525815110 6334446784295 7601336141154 10859051630220 12668893568590 15202672282308 19003340352885 25337787137180 38006680705770 76013361411540