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12958502040 = 23335111090783
BaseRepresentation
bin11000001000110001…
…10000110010011000
31020110002201002222000
430010120300302120
5203014334031130
65541505401000
7636060310221
oct140430606230
936402632860
1012958502040
11554a811420
122617939160
1312b69023b3
148ad046248
1550c9a6260
hex304630c98

12958502040 has 128 divisors (see below), whose sum is σ = 47121868800. Its totient is φ = 3141452160.

The previous prime is 12958502027. The next prime is 12958502041. The reversal of 12958502040 is 4020585921.

12958502040 is a `hidden beast` number, since 12 + 9 + 585 + 0 + 20 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12958501986 and 12958502004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12958502041) 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, 533512 + ... + 557271.

It is an arithmetic number, because the mean of its divisors is an integer number (368139600).

Almost surely, 212958502040 is an apocalyptic number.

12958502040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12958502040 is an abundant number, since it is smaller than the sum of its proper divisors (34163366760).

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

12958502040 is a wasteful number, since it uses less digits than its factorization.

12958502040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090814 (or 1090804 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 12958502040 in words is "twelve billion, nine hundred fifty-eight million, five hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 1090783 2181566 3272349 4363132 5453915 6544698 8726264 9817047 10907830 11998613 13089396 16361745 19634094 21815660 23997226 26178792 29451141 32723490 35995839 39268188 43631320 47994452 49085235 58902282 59993065 65446980 71991678 78536376 95988904 98170470 107987517 117804564 119986130 130893960 143983356 147255705 179979195 196340940 215975034 235609128 239972260 287966712 294511410 323962551 359958390 392681880 431950068 479944520 539937585 589022820 647925102 719916780 863900136 1079875170 1178045640 1295850204 1439833560 1619812755 2159750340 2591700408 3239625510 4319500680 6479251020 12958502040