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10387393680 = 2435535913841
BaseRepresentation
bin10011010110010001…
…10000110010010000
3222210220201021100110
421223020300302100
5132233133044210
64434421521320
7515260250406
oct115310606220
928726637313
1010387393680
11445045a684
12201a873240
13c97036ac1
147077a5476
1540bdd1420
hex26b230c90

10387393680 has 160 divisors (see below), whose sum is σ = 33366971520. Its totient is φ = 2671452160.

The previous prime is 10387393673. The next prime is 10387393697. The reversal of 10387393680 is 8639378301.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743560 + ... + 757400.

It is an arithmetic number, because the mean of its divisors is an integer number (208543572).

Almost surely, 210387393680 is an apocalyptic number.

10387393680 is a gapful number since it is divisible by the number (10) 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 10387393680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16683485760).

10387393680 is an abundant number, since it is smaller than the sum of its proper divisors (22979577840).

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

10387393680 is a wasteful number, since it uses less digits than its factorization.

10387393680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13969 (or 13963 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 10387393680 in words is "ten billion, three hundred eighty-seven million, three hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 59 60 80 106 118 120 159 177 212 236 240 265 295 318 354 424 472 530 590 636 708 795 848 885 944 1060 1180 1272 1416 1590 1770 2120 2360 2544 2832 3127 3180 3540 4240 4720 6254 6360 7080 9381 12508 12720 13841 14160 15635 18762 25016 27682 31270 37524 41523 46905 50032 55364 62540 69205 75048 83046 93810 110728 125080 138410 150096 166092 187620 207615 221456 250160 276820 332184 375240 415230 553640 664368 733573 750480 816619 830460 1107280 1467146 1633238 1660920 2200719 2449857 2934292 3266476 3321840 3667865 4083095 4401438 4899714 5868584 6532952 7335730 8166190 8802876 9799428 11003595 11737168 12249285 13065904 14671460 16332380 17605752 19598856 22007190 24498570 29342920 32664760 35211504 39197712 43280807 44014380 48997140 58685840 65329520 86561614 88028760 97994280 129842421 173123228 176057520 195988560 216404035 259684842 346246456 432808070 519369684 649212105 692492912 865616140 1038739368 1298424210 1731232280 2077478736 2596848420 3462464560 5193696840 10387393680