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38240524872 = 23331135714507
BaseRepresentation
bin100011100111010100…
…000001101001001000
310122201001021221101000
4203213110001221020
51111304033243442
625322323055000
72522431045464
oct434724015110
9118631257330
1038240524872
1115243863370
1274b2811460
1337b56b0c14
141bcaa434a4
15edc2d5d4c
hex8e7501a48

38240524872 has 128 divisors (see below), whose sum is σ = 115938547200. Its totient is φ = 11582222400.

The previous prime is 38240524849. The next prime is 38240524873. The reversal of 38240524872 is 27842504283.

38240524872 is a `hidden beast` number, since 3 + 8 + 2 + 40 + 524 + 87 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (38240524873) 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, 8482443 + ... + 8486949.

It is an arithmetic number, because the mean of its divisors is an integer number (905769900).

Almost surely, 238240524872 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 38240524872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57969273600).

38240524872 is an abundant number, since it is smaller than the sum of its proper divisors (77698022328).

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

38240524872 is a wasteful number, since it uses less digits than its factorization.

38240524872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8104 (or 8094 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 38240524872 in words is "thirty-eight billion, two hundred forty million, five hundred twenty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 3571 4507 7142 9014 10713 13521 14284 18028 21426 27042 28568 32139 36056 39281 40563 42852 49577 54084 64278 78562 81126 85704 96417 99154 108168 117843 121689 128556 148731 157124 162252 192834 198308 235686 243378 257112 297462 314248 324504 353529 385668 396616 446193 471372 486756 594924 707058 771336 892386 942744 973512 1060587 1189848 1338579 1414116 1784772 2121174 2677158 2828232 3569544 4242348 5354316 8484696 10708632 16094497 32188994 48283491 64377988 96566982 128755976 144850473 177039467 193133964 289700946 354078934 386267928 434551419 531118401 579401892 708157868 869102838 1062236802 1158803784 1416315736 1593355203 1738205676 2124473604 3186710406 3476411352 4248947208 4780065609 6373420812 9560131218 12746841624 19120262436 38240524872