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11745969816 = 2337533074297
BaseRepresentation
bin10101111000001110…
…10100011010011000
31010022121010002110010
422330013110122120
5143023432013231
65221312521520
7564035044650
oct127407243230
933277102403
1011745969816
114a88325a79
1223398502a0
1311526408c9
147d5db3360
1548b2e2546
hex2bc1d4698

11745969816 has 128 divisors (see below), whose sum is σ = 34312481280. Its totient is φ = 3281181696.

The previous prime is 11745969811. The next prime is 11745969839. The reversal of 11745969816 is 61896954711.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11745969811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2731380 + ... + 2735676.

It is an arithmetic number, because the mean of its divisors is an integer number (268066260).

Almost surely, 211745969816 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 11745969816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17156240640).

11745969816 is an abundant number, since it is smaller than the sum of its proper divisors (22566511464).

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

11745969816 is a wasteful number, since it uses less digits than its factorization.

11745969816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4669 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 57.

The spelling of 11745969816 in words is "eleven billion, seven hundred forty-five million, nine hundred sixty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 307 318 371 424 614 636 742 921 1113 1228 1272 1484 1842 2149 2226 2456 2968 3684 4297 4298 4452 6447 7368 8594 8596 8904 12891 12894 16271 17188 17192 25782 25788 30079 32542 34376 48813 51564 51576 60158 65084 90237 97626 103128 113897 120316 130168 180474 195252 227741 227794 240632 341691 360948 390504 455482 455588 683223 683382 721896 910964 911176 1319179 1366446 1366764 1594187 1821928 2638358 2732892 2733528 3188374 3957537 4782561 5276716 5465784 6376748 7915074 9234253 9565122 10553432 12753496 15830148 18468506 19130244 27702759 31660296 36937012 38260488 55405518 69916487 73874024 110811036 139832974 209749461 221622072 279665948 419498922 489415409 559331896 838997844 978830818 1468246227 1677995688 1957661636 2936492454 3915323272 5872984908 11745969816