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42362120500 = 2253731913793
BaseRepresentation
bin100111011100111110…
…101010100100110100
311001100021210200122221
4213130332222210310
51143224200324000
631243315132124
73026526040330
oct473476524464
9131307720587
1042362120500
1116a69349147
128262ba4044
133cc15678bb
14209c1aa7c0
15117e07961a
hex9dcfaa934

42362120500 has 96 divisors (see below), whose sum is σ = 105796873728. Its totient is φ = 14515776000.

The previous prime is 42362120473. The next prime is 42362120501. The reversal of 42362120500 is 502126324.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42362120501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11166604 + ... + 11170396.

It is an arithmetic number, because the mean of its divisors is an integer number (1102050768).

Almost surely, 242362120500 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 42362120500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52898436864).

42362120500 is an abundant number, since it is smaller than the sum of its proper divisors (63434753228).

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

42362120500 is a wasteful number, since it uses less digits than its factorization.

42362120500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7010 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 42362120500 its reverse (502126324), we get a palindrome (42864246824).

The spelling of 42362120500 in words is "forty-two billion, three hundred sixty-two million, one hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 700 875 1750 3191 3500 3793 6382 7586 12764 15172 15955 18965 22337 26551 31910 37930 44674 53102 63820 75860 79775 89348 94825 106204 111685 132755 159550 189650 223370 265510 319100 379300 398875 446740 474125 531020 558425 663775 797750 948250 1116850 1327550 1595500 1896500 2233700 2655100 2792125 3318875 5584250 6637750 11168500 12103463 13275500 24206926 48413852 60517315 84724241 121034630 169448482 242069260 302586575 338896964 423621205 605173150 847242410 1210346300 1512932875 1694484820 2118106025 3025865750 4236212050 6051731500 8472424100 10590530125 21181060250 42362120500