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1713104028736 = 26472594
BaseRepresentation
bin11000111011011100111…
…101010000010001000000
320001202211011110110021121
4120323130331100101000
5211031414112404421
63350553352402024
7234524212661662
oct30733475202100
96052734413247
101713104028736
11600583622301
122380170a6314
13c571152b929
145ccb3c36532
152e865e6dd41
hex18edcf50440

1713104028736 has 105 divisors (see below), whose sum is σ = 3533192859559. Its totient is φ = 824118562688.

The previous prime is 1713104028733. The next prime is 1713104028761. The reversal of 1713104028736 is 6378204013171.

It is a happy number.

The square root of 1713104028736 is 1308856.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1713104028692 and 1713104028701.

It is not an unprimeable number, because it can be changed into a prime (1713104028733) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29035661475 + ... + 29035661533.

Almost surely, 21713104028736 is an apocalyptic number.

1713104028736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1713104028736 is the 1308856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1713104028736

1713104028736 is an abundant number, since it is smaller than the sum of its proper divisors (1820088830823).

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

1713104028736 is an frugal number, since it uses more digits than its factorization.

1713104028736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 1713104028736 in words is "one trillion, seven hundred thirteen billion, one hundred four million, twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 59 64 94 118 188 236 376 472 752 944 1504 1888 2209 2773 3008 3481 3776 4418 5546 6962 8836 11092 13924 17672 22184 27848 35344 44368 55696 70688 88736 111392 130331 141376 163607 177472 205379 222784 260662 327214 410758 521324 654428 821516 1042648 1308856 1643032 2085296 2617712 3286064 4170592 5235424 6572128 7689529 8341184 9652813 10470848 12117361 13144256 15379058 19305626 24234722 30758116 38611252 48469444 61516232 77222504 96938888 123032464 154445008 193877776 246064928 308890016 387755552 453682211 492129856 569515967 617780032 775511104 907364422 1139031934 1814728844 2278063868 3629457688 4556127736 7258915376 9112255472 14517830752 18224510944 26767250449 29035661504 36449021888 53534500898 107069001796 214138003592 428276007184 856552014368 1713104028736