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3826796469504 = 28371220731799
BaseRepresentation
bin110111101011111110110…
…110000001110100000000
3111112211122000200201010020
4313223332312001310000
51000144234344011004
612050001145133440
7543322404201651
oct67537666016400
914484560621106
103826796469504
111245a3192a638
125197aa48a280
13219b33267b98
14d330a03d528
15698252b58d9
hex37afed81d00

3826796469504 has 144 divisors (see below), whose sum is σ = 10333312819200. Its totient is φ = 1257023272960.

The previous prime is 3826796469479. The next prime is 3826796469581. The reversal of 3826796469504 is 4059646976283.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120327397 + ... + 120359195.

It is an arithmetic number, because the mean of its divisors is an integer number (71759116800).

Almost surely, 23826796469504 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 3826796469504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166656409600).

3826796469504 is an abundant number, since it is smaller than the sum of its proper divisors (6506516349696).

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

3826796469504 is a wasteful number, since it uses less digits than its factorization.

3826796469504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34096 (or 34082 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 69.

The spelling of 3826796469504 in words is "three trillion, eight hundred twenty-six billion, seven hundred ninety-six million, four hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 568 768 852 1136 1704 2207 2272 3408 4414 4544 6621 6816 8828 9088 13242 13632 17656 18176 26484 27264 31799 35312 52968 54528 63598 70624 95397 105936 127196 141248 156697 190794 211872 254392 282496 313394 381588 423744 470091 508784 564992 626788 763176 847488 940182 1017568 1253576 1526352 1694976 1880364 2035136 2257729 2507152 3052704 3760728 4070272 4515458 5014304 6105408 6773187 7521456 8140544 9030916 10028608 12210816 13546374 15042912 18061832 20057216 24421632 27092748 30085824 36123664 40114432 54185496 60171648 70180393 72247328 108370992 120343296 140360786 144494656 210541179 216741984 280721572 288989312 421082358 433483968 561443144 577978624 842164716 866967936 1122886288 1684329432 1733935872 2245772576 3368658864 4491545152 4982807903 6737317728 8983090304 9965615806 13474635456 14948423709 17966180608 19931231612 26949270912 29896847418 39862463224 53898541824 59793694836 79724926448 119587389672 159449852896 239174779344 318899705792 478349558688 637799411584 956699117376 1275598823168 1913398234752 3826796469504