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1315348605264 = 2434312710934591
BaseRepresentation
bin10011001001000000111…
…000101110100101010000
311122202010220110101102210
4103021000320232211100
5133022313220332024
62444132433312120
7164013364445601
oct23110070564520
94582126411383
101315348605264
11467921aa6531
12192b0b705640
1397062c2b8a5
144793dbd5da8
152433664a129
hex13240e2e950

1315348605264 has 160 divisors (see below), whose sum is σ = 3508355006464. Its totient is φ = 424399772160.

The previous prime is 1315348605209. The next prime is 1315348605281. The reversal of 1315348605264 is 4625068435131.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286503609 + ... + 286508199.

Almost surely, 21315348605264 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 1315348605264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754177503232).

1315348605264 is an abundant number, since it is smaller than the sum of its proper divisors (2193006401200).

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

1315348605264 is a wasteful number, since it uses less digits than its factorization.

1315348605264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5865 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 1315348605264 in words is "one trillion, three hundred fifteen billion, three hundred forty-eight million, six hundred five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 127 129 172 254 258 344 381 508 516 688 762 1016 1032 1093 1524 2032 2064 2186 3048 3279 4372 4591 5461 6096 6558 8744 9182 10922 13116 13773 16383 17488 18364 21844 26232 27546 32766 36728 43688 46999 52464 55092 65532 73456 87376 93998 110184 131064 138811 140997 187996 197413 220368 262128 277622 281994 375992 394826 416433 555244 563988 583057 592239 751984 789652 832866 1110488 1127976 1166114 1184478 1579304 1665732 1749171 2220976 2255952 2332228 2368956 3158608 3331464 3498342 4664456 4737912 5017963 5968873 6662928 6996684 9328912 9475824 10035926 11937746 13993368 15053889 17906619 20071852 23875492 25071451 27986736 30107778 35813238 40143704 47750984 50142902 60215556 71626476 75214353 80287408 95501968 100285804 120431112 143252952 150428706 200571608 215772409 240862224 286505904 300857412 401143216 431544818 601714824 637281301 647317227 863089636 1203429648 1274562602 1294634454 1726179272 1911843903 2549125204 2589268908 3452358544 3823687806 5098250408 5178537816 7647375612 10196500816 10357075632 15294751224 27403095943 30589502448 54806191886 82209287829 109612383772 164418575658 219224767544 328837151316 438449535088 657674302632 1315348605264