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38387774004240 = 2435375973270297
BaseRepresentation
bin10001011101001110110011…
…01000100001110000010000
312000220211112222021121002110
420232213121220201300100
520012421130121113430
6213351033325545320
711041265553145113
oct1056473150416020
9160824488247073
1038387774004240
1111260188727061
12437b983a15240
131855c4a75040b
14969d9a18257a
1546884a1257b0
hex22e9d9a21c10

38387774004240 has 160 divisors (see below), whose sum is σ = 124289871903360. Its totient is φ = 9791256195072.

The previous prime is 38387774004199. The next prime is 38387774004241. The reversal of 38387774004240 is 4240047778383.

It is not an unprimeable number, because it can be changed into a prime (38387774004241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36111229 + ... + 37159068.

It is an arithmetic number, because the mean of its divisors is an integer number (776811699396).

Almost surely, 238387774004240 is an apocalyptic number.

38387774004240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38387774004240 is an abundant number, since it is smaller than the sum of its proper divisors (85902097899120).

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

38387774004240 is a wasteful number, since it uses less digits than its factorization.

38387774004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73270409 (or 73270403 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 57.

The spelling of 38387774004240 in words is "thirty-eight trillion, three hundred eighty-seven billion, seven hundred seventy-four million, four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 59 60 74 80 111 118 120 148 177 185 222 236 240 295 296 354 370 444 472 555 590 592 708 740 885 888 944 1110 1180 1416 1480 1770 1776 2183 2220 2360 2832 2960 3540 4366 4440 4720 6549 7080 8732 8880 10915 13098 14160 17464 21830 26196 32745 34928 43660 52392 65490 87320 104784 130980 174640 261960 523920 73270297 146540594 219810891 293081188 366351485 439621782 586162376 732702970 879243564 1099054455 1172324752 1465405940 1758487128 2198108910 2711000989 2930811880 3516974256 4322947523 4396217820 5422001978 5861623760 8133002967 8645895046 8792435640 10844003956 12968842569 13555004945 16266005934 17291790092 17584871280 21614737615 21688007912 25937685138 27110009890 32532011868 34583580184 40665014835 43229475230 43376015824 51875370276 54220019780 64844212845 65064023736 69167160368 81330029670 86458950460 103750740552 108440039560 129688425690 130128047472 159949058351 162660059340 172917900920 207501481104 216880079120 259376851380 319898116702 325320118680 345835801840 479847175053 518753702760 639796233404 650640237360 799745291755 959694350106 1037507405520 1279592466808 1599490583510 1919388700212 2399235875265 2559184933616 3198981167020 3838777400424 4798471750530 6397962334040 7677554800848 9596943501060 12795924668080 19193887002120 38387774004240