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385109839872 = 2123288311831
BaseRepresentation
bin1011001101010100101…
…01011101000000000000
31100211000222002212021200
411212222111131000000
522302201104333442
6452530024221200
736552244425312
oct5465225350000
91324028085250
10385109839872
1113936251273a
126277860a800
132a41479c7c4
14148d47b17b2
15a03e57e34c
hex59aa55d000

385109839872 has 156 divisors (see below), whose sum is σ = 1113757660704. Its totient is φ = 128213729280.

The previous prime is 385109839861. The next prime is 385109839889. The reversal of 385109839872 is 278938901583.

385109839872 is a `hidden beast` number, since 3 + 8 + 510 + 9 + 8 + 39 + 87 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32544997 + ... + 32556827.

It is an arithmetic number, because the mean of its divisors is an integer number (7139472184).

Almost surely, 2385109839872 is an apocalyptic number.

385109839872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385109839872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556878830352).

385109839872 is an abundant number, since it is smaller than the sum of its proper divisors (728647820832).

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

385109839872 is a wasteful number, since it uses less digits than its factorization.

385109839872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12744 (or 12719 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 385109839872 in words is "three hundred eighty-five billion, one hundred nine million, eight hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 883 1024 1152 1536 1766 2048 2304 2649 3072 3532 4096 4608 5298 6144 7064 7947 9216 10596 11831 12288 14128 15894 18432 21192 23662 28256 31788 35493 36864 42384 47324 56512 63576 70986 84768 94648 106479 113024 127152 141972 169536 189296 212958 226048 254304 283944 339072 378592 425916 452096 508608 567888 678144 757184 851832 904192 1017216 1135776 1356288 1514368 1703664 1808384 2034432 2271552 2712576 3028736 3407328 3616768 4068864 4543104 5425152 6057472 6814656 8137728 9086208 10446773 10850304 12114944 13629312 16275456 18172416 20893546 24229888 27258624 31340319 32550912 36344832 41787092 48459776 54517248 62680638 72689664 83574184 94020957 109034496 125361276 145379328 167148368 188041914 218068992 250722552 334296736 376083828 436137984 501445104 668593472 752167656 1002890208 1337186944 1504335312 2005780416 2674373888 3008670624 4011560832 5348747776 6017341248 8023121664 10697495552 12034682496 16046243328 21394991104 24069364992 32092486656 42789982208 48138729984 64184973312 96277459968 128369946624 192554919936 385109839872