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38748607920 = 24325114892501
BaseRepresentation
bin100100000101100110…
…001101010110110000
310201000110100020021200
4210011212031112300
51113324120423140
625444553051200
72541140506251
oct440546152660
9121013306250
1038748607920
1115484640710
1276149b6b00
133866a36189
141c38300b28
15101bbe9030
hex90598d5b0

38748607920 has 120 divisors (see below), whose sum is σ = 141960838032. Its totient is φ = 9393600000.

The previous prime is 38748607907. The next prime is 38748607927. The reversal of 38748607920 is 2970684783.

38748607920 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 8 + 607 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (38748607927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2438331 + ... + 2454170.

Almost surely, 238748607920 is an apocalyptic number.

38748607920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38748607920 is an abundant number, since it is smaller than the sum of its proper divisors (103212230112).

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

38748607920 is a wasteful number, since it uses less digits than its factorization.

38748607920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4892531 (or 4892522 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 38748607920 in words is "thirty-eight billion, seven hundred forty-eight million, six hundred seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 4892501 9785002 14677503 19570004 24462505 29355006 39140008 44032509 48925010 53817511 58710012 73387515 78280016 88065018 97850020 107635022 117420024 146775030 161452533 176130036 195700040 215270044 220162545 234840048 269087555 293550060 322905066 352260072 391400080 430540088 440325090 484357599 538175110 587100120 645810132 704520144 807262665 861080176 880650180 968715198 1076350220 1174200240 1291620264 1614525330 1761300360 1937430396 2152700440 2421787995 2583240528 3229050660 3522600720 3874860792 4305400880 4843575990 6458101320 7749721584 9687151980 12916202640 19374303960 38748607920