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42253535100 = 22352737953089
BaseRepresentation
bin100111010110100000…
…011100011101111100
311001001201110222111110
4213112200130131330
51143013401110400
631224435522020
73024040056660
oct472640343574
9131051428443
1042253535100
1116a13023347
128232759310
133ca4c0939a
14208b9c28a0
15117477ae50
hex9d681c77c

42253535100 has 144 divisors (see below), whose sum is σ = 140089644800. Its totient is φ = 9632286720.

The previous prime is 42253535089. The next prime is 42253535117. The reversal of 42253535100 is 153535224.

It is a super-2 number, since 2×422535351002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 769356 + ... + 822444.

Almost surely, 242253535100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42253535100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70044822400).

42253535100 is an abundant number, since it is smaller than the sum of its proper divisors (97836109700).

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

42253535100 is a wasteful number, since it uses less digits than its factorization.

42253535100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53492 (or 53485 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 42253535100 in words is "forty-two billion, two hundred fifty-three million, five hundred thirty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 379 420 525 700 758 1050 1137 1516 1895 2100 2274 2653 3790 4548 5306 5685 7580 7959 9475 10612 11370 13265 15918 18950 22740 26530 28425 31836 37900 39795 53060 53089 56850 66325 79590 106178 113700 132650 159180 159267 198975 212356 265300 265445 318534 371623 397950 530890 637068 743246 795900 796335 1061780 1114869 1327225 1486492 1592670 1858115 2229738 2654450 3185340 3716230 3981675 4459476 5308900 5574345 7432460 7963350 9290575 11148690 15926700 18581150 20120731 22297380 27871725 37162300 40241462 55743450 60362193 80482924 100603655 111486900 120724386 140845117 201207310 241448772 281690234 301810965 402414620 422535351 503018275 563380468 603621930 704225585 845070702 1006036550 1207243860 1408451170 1509054825 1690141404 2012073100 2112676755 2816902340 3018109650 3521127925 4225353510 6036219300 7042255850 8450707020 10563383775 14084511700 21126767550 42253535100