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70368744457505 = 513174091193130513
BaseRepresentation
bin10000000000000000000000…
…000001000100010100100001
3100020011012000210101001220102
4100000000000001010110201
533210410142040120010
6405354542132552145
720551655041556324
oct2000000001042441
9306135023331812
1070368744457505
112047024281186a
127a85b26182655
133035989b0c6b0
141353c189527bb
158206bc457ba5
hex400000044521

70368744457505 has 64 divisors (see below), whose sum is σ = 96604437222720. Its totient is φ = 48747021336576.

The previous prime is 70368744457483. The next prime is 70368744457511. The reversal of 70368744457505 is 50575444786307.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 18133766157376 + 52234978300129 = 4258376^2 + 7227377^2 .

It is a de Polignac number, because none of the positive numbers 2k-70368744457505 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a Leyland number of the form 234 + 423.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 539105129 + ... + 539235641.

It is an arithmetic number, because the mean of its divisors is an integer number (1509444331605).

Almost surely, 270368744457505 is an apocalyptic number.

It is an amenable number.

70368744457505 is a deficient number, since it is larger than the sum of its proper divisors (26235692765215).

70368744457505 is a wasteful number, since it uses less digits than its factorization.

70368744457505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132150.

The product of its (nonzero) digits is 395136000, while the sum is 65.

The spelling of 70368744457505 in words is "seventy trillion, three hundred sixty-eight billion, seven hundred forty-four million, four hundred fifty-seven thousand, five hundred five".

Divisors: 1 5 13 17 65 85 221 409 1105 1193 2045 5317 5965 6953 15509 20281 26585 34765 77545 90389 101405 130513 263653 451945 487937 652565 1318265 1696669 2218721 2439685 6343181 8294929 8483345 11093605 28843373 31715905 41474645 53379817 107834077 144216865 155702009 266899085 539170385 693937621 778510045 907456889 2024126117 2646934153 3469688105 4537284445 10120630585 11796939557 13234670765 34410143989 58984697785 63682121681 172050719945 318410608405 827867581853 1082596068577 4139337909265 5412980342885 14073748891501 70368744457505