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382535414664 = 2331359173120121
BaseRepresentation
bin1011001000100001110…
…00110011001110001000
31100120101112212111210220
411210100320303032020
522231413031232124
6451422341310040
736431404242414
oct5442070631610
91316345774726
10382535414664
111382612a59a7
126217a405320
132a0c4312590
141472c909d44
159e3d551879
hex5910e33388

382535414664 has 128 divisors (see below), whose sum is σ = 1053421891200. Its totient is φ = 115038443520.

The previous prime is 382535414647. The next prime is 382535414669. The reversal of 382535414664 is 466414535283.

It is not an unprimeable number, because it can be changed into a prime (382535414669) 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, 3124524 + ... + 3244644.

It is an arithmetic number, because the mean of its divisors is an integer number (8229858525).

Almost surely, 2382535414664 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 382535414664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526710945600).

382535414664 is an abundant number, since it is smaller than the sum of its proper divisors (670886476536).

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

382535414664 is a wasteful number, since it uses less digits than its factorization.

382535414664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120375 (or 120371 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 51.

The spelling of 382535414664 in words is "three hundred eighty-two billion, five hundred thirty-five million, four hundred fourteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 118 156 173 177 236 312 346 354 472 519 692 708 767 1038 1384 1416 1534 2076 2249 2301 3068 4152 4498 4602 6136 6747 8996 9204 10207 13494 17992 18408 20414 26988 30621 40828 53976 61242 81656 120121 122484 132691 240242 244968 265382 360363 398073 480484 530764 720726 796146 960968 1061528 1441452 1561573 1592292 2882904 3123146 3184584 4684719 6246292 7087139 9369438 12492584 14174278 18738876 20780933 21261417 28348556 37477752 41561866 42522834 56697112 62342799 83123732 85045668 92132807 124685598 166247464 170091336 184265614 249371196 270152129 276398421 368531228 498742392 540304258 552796842 737062456 810456387 1080608516 1105593684 1226075047 1620912774 2161217032 2211187368 2452150094 3241825548 3678225141 4904300188 6483651096 7356450282 9808600376 14712900564 15938975611 29425801128 31877951222 47816926833 63755902444 95633853666 127511804888 191267707332 382535414664