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70034762664 = 23322952736361
BaseRepresentation
bin100000100111001100…
…1011010101110101000
320200202211202120021200
41001032121122232220
52121412344401124
652101252004200
75026345442346
oct1011631325650
9220684676250
1070034762664
1127779885849
12116a6600660
1367b16c9389
1435654a4996
151c4d6cabc9
hex104e65aba8

70034762664 has 96 divisors (see below), whose sum is σ = 196286149800. Its totient is φ = 22532106240.

The previous prime is 70034762579. The next prime is 70034762689. The reversal of 70034762664 is 46626743007.

It can be written as a sum of positive squares in 4 ways, for example, as 52965340164 + 17069422500 = 230142^2 + 130650^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11006844 + ... + 11013204.

Almost surely, 270034762664 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 70034762664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98143074900).

70034762664 is an abundant number, since it is smaller than the sum of its proper divisors (126251387136).

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

70034762664 is a wasteful number, since it uses less digits than its factorization.

70034762664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11675 (or 11668 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 70034762664 in words is "seventy billion, thirty-four million, seven hundred sixty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 5273 6361 10546 12722 15819 19083 21092 25444 31638 38166 42184 47457 50888 57249 63276 76332 94914 114498 126552 152664 152917 184469 189828 228996 305834 368938 379656 457992 458751 553407 611668 737876 917502 1106814 1223336 1376253 1475752 1660221 1835004 2213628 2752506 3320442 3670008 4427256 5505012 6640884 11010024 13281768 33541553 67083106 100624659 134166212 201249318 268332424 301873977 402498636 603747954 804997272 972705037 1207495908 1945410074 2414991816 2918115111 3890820148 5836230222 7781640296 8754345333 11672460444 17508690666 23344920888 35017381332 70034762664