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42572971200 = 263528869369
BaseRepresentation
bin100111101001100010…
…111111110011000000
311001212222120000110010
4213221202333303000
51144142140034300
631320250304520
73034666166364
oct475142776300
9131788500403
1042572971200
1117067372421
128301728140
134026150a26
1420bc1b52a4
151192828a50
hex9e98bfcc0

42572971200 has 84 divisors (see below), whose sum is σ = 139674838760. Its totient is φ = 11352791040.

The previous prime is 42572971183. The next prime is 42572971201. The reversal of 42572971200 is 217927524.

It is not an unprimeable number, because it can be changed into a prime (42572971201) 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 11 ways as a sum of consecutive naturals, for example, 4429885 + ... + 4439484.

Almost surely, 242572971200 is an apocalyptic number.

42572971200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42572971200 is an abundant number, since it is smaller than the sum of its proper divisors (97101867560).

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

42572971200 is a wasteful number, since it uses less digits than its factorization.

42572971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8869394 (or 8869379 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 42572971200 in words is "forty-two billion, five hundred seventy-two million, nine hundred seventy-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 8869369 17738738 26608107 35477476 44346845 53216214 70954952 88693690 106432428 133040535 141909904 177387380 212864856 221734225 266081070 283819808 354774760 425729712 443468450 532162140 567639616 665202675 709549520 851459424 886936900 1064324280 1330405350 1419099040 1702918848 1773873800 2128648560 2660810700 2838198080 3547747600 4257297120 5321621400 7095495200 8514594240 10643242800 14190990400 21286485600 42572971200