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1366786225104 = 2431723719101287
BaseRepresentation
bin10011111000111010110…
…011101011001111010000
311211122220200102012201220
4103320322303223033100
5134343134233200404
62523520512125040
7200514144140046
oct23707263531720
94748820365656
101366786225104
11487718212653
121a0a85b36780
139bb6c78c431
144a21d42c396
15258473164d9
hex13e3aceb3d0

1366786225104 has 160 divisors (see below), whose sum is σ = 3906572820480. Its totient is φ = 409577895936.

The previous prime is 1366786225069. The next prime is 1366786225117. The reversal of 1366786225104 is 4015226876631.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13443549 + ... + 13544835.

It is an arithmetic number, because the mean of its divisors is an integer number (24416080128).

Almost surely, 21366786225104 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 1366786225104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953286410240).

1366786225104 is an abundant number, since it is smaller than the sum of its proper divisors (2539786595376).

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

1366786225104 is a wasteful number, since it uses less digits than its factorization.

1366786225104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102057 (or 102051 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 1366786225104 in words is "one trillion, three hundred sixty-six billion, seven hundred eighty-six million, two hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 368 391 408 552 719 782 816 1104 1173 1438 1564 2157 2346 2876 3128 4314 4692 5752 6256 8628 9384 11504 12223 16537 17256 18768 24446 33074 34512 36669 48892 49611 66148 73338 97784 99222 101287 132296 146676 195568 198444 202574 264592 281129 293352 303861 396888 405148 562258 586704 607722 793776 810296 843387 1124516 1215444 1620592 1686774 1721879 2249032 2329601 2430888 3373548 3443758 4498064 4659202 4861776 5165637 6747096 6887516 6988803 9318404 10331274 13494192 13775032 13977606 18636808 20662548 27550064 27955212 37273616 39603217 41325096 55910424 72825353 79206434 82650192 111820848 118809651 145650706 158412868 218476059 237619302 291301412 316825736 436952118 475238604 582602824 633651472 873904236 950477208 1165205648 1238031001 1674983119 1747808472 1900954416 2476062002 3349966238 3495616944 3714093003 4952124004 5024949357 6699932476 7428186006 9904248008 10049898714 13399864952 14856372012 19808496016 20099797428 26799729904 28474713023 29712744024 40199594856 56949426046 59425488048 80399189712 85424139069 113898852092 170848278138 227797704184 341696556276 455595408368 683393112552 1366786225104