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38074149120 = 283571416449
BaseRepresentation
bin100011011101011001…
…010110100100000000
310122021110020011202010
4203131121112210000
51110433440232440
625254021052520
72515340633130
oct433531264400
9118243204663
1038074149120
1115168956847
127466b57140
13378a09a427
141bb28d4ac0
15ecc8be580
hex8dd656900

38074149120 has 144 divisors (see below), whose sum is σ = 138970742400. Its totient is φ = 8702656512.

The previous prime is 38074149107. The next prime is 38074149121. The reversal of 38074149120 is 2194147083.

It is not an unprimeable number, because it can be changed into a prime (38074149121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681345 + ... + 735104.

It is an arithmetic number, because the mean of its divisors is an integer number (965074600).

Almost surely, 238074149120 is an apocalyptic number.

38074149120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38074149120 is an abundant number, since it is smaller than the sum of its proper divisors (100896593280).

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

38074149120 is a wasteful number, since it uses less digits than its factorization.

38074149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416480 (or 1416466 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 38074149120 in words is "thirty-eight billion, seventy-four million, one hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 1416449 2832898 4249347 5665796 7082245 8498694 9915143 11331592 14164490 16997388 19830286 21246735 22663184 28328980 29745429 33994776 39660572 42493470 45326368 49575715 56657960 59490858 67989552 79321144 84986940 90652736 99151430 113315920 118981716 135979104 148727145 158642288 169973880 181305472 198302860 226631840 237963432 271958208 297454290 317284576 339947760 362610944 396605720 453263680 475926864 543916416 594908580 634569152 679895520 793211440 906527360 951853728 1087832832 1189817160 1269138304 1359791040 1586422880 1813054720 1903707456 2379634320 2538276608 2719582080 3172845760 3807414912 4759268640 5439164160 6345691520 7614829824 9518537280 12691383040 19037074560 38074149120