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42388745520 = 24351129553667
BaseRepresentation
bin100111011110100100…
…001110110100110000
311001102010220101022210
4213132210032310300
51143303004324040
631250105532120
73030301251312
oct473644166460
9131363811283
1042388745520
1116a823839a0
12826baa4040
133cc6c2a654
1420a193b7b2
151181588480
hex9de90ed30

42388745520 has 160 divisors (see below), whose sum is σ = 148294437120. Its totient is φ = 9921694720.

The previous prime is 42388745513. The next prime is 42388745537. The reversal of 42388745520 is 2554788324.

42388745520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42388745520.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200274 + ... + 353393.

It is an arithmetic number, because the mean of its divisors is an integer number (926840232).

Almost surely, 242388745520 is an apocalyptic number.

42388745520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42388745520 is an abundant number, since it is smaller than the sum of its proper divisors (105905691600).

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

42388745520 is a wasteful number, since it uses less digits than its factorization.

42388745520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553723 (or 553717 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 42388745520 in words is "forty-two billion, three hundred eighty-eight million, seven hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 528 580 638 660 696 870 880 957 1160 1276 1320 1392 1595 1740 1914 2320 2552 2640 3190 3480 3828 4785 5104 6380 6960 7656 9570 12760 15312 19140 25520 38280 76560 553667 1107334 1661001 2214668 2768335 3322002 4429336 5536670 6090337 6644004 8305005 8858672 11073340 12180674 13288008 16056343 16610010 18271011 22146680 24361348 26576016 30451685 32112686 33220020 36542022 44293360 48169029 48722696 60903370 64225372 66440040 73084044 80281715 91355055 96338058 97445392 121806740 128450744 132880080 146168088 160563430 176619773 182710110 192676116 240845145 243613480 256901488 292336176 321126860 353239546 365420220 385352232 481690290 487226960 529859319 642253720 706479092 730840440 770704464 883098865 963380580 1059718638 1284507440 1412958184 1461680880 1766197730 1926761160 2119437276 2649296595 2825916368 3532395460 3853522320 4238874552 5298593190 7064790920 8477749104 10597186380 14129581840 21194372760 42388745520