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20010245024 = 2571112176673
BaseRepresentation
bin10010101000101101…
…000001101110100000
31220122112210202210002
4102220231001232200
5311440110320044
613105332555132
71305605163530
oct225055015640
956575722702
1020010245024
118539297290
123a65482aa8
131b6b853b93
14d7b7d14c0
157c1ae174e
hex4a8b41ba0

20010245024 has 96 divisors (see below), whose sum is σ = 49163780736. Its totient is φ = 7788625920.

The previous prime is 20010245011. The next prime is 20010245033. The reversal of 20010245024 is 42054201002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20010244987 and 20010245005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2995352 + ... + 3002024.

It is an arithmetic number, because the mean of its divisors is an integer number (512122716).

Almost surely, 220010245024 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 20010245024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24581890368).

20010245024 is an abundant number, since it is smaller than the sum of its proper divisors (29153535712).

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

20010245024 is a wasteful number, since it uses less digits than its factorization.

20010245024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7918 (or 7910 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 20010245024 its reverse (42054201002), we get a palindrome (62064446026).

The spelling of 20010245024 in words is "twenty billion, ten million, two hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1217 1232 2434 2464 4868 6673 8519 9736 13346 13387 17038 19472 26692 26774 34076 38944 46711 53384 53548 68152 73403 93422 93709 106768 107096 136304 146806 186844 187418 213536 214192 272608 293612 373688 374836 428384 513821 587224 747376 749672 1027642 1174448 1494752 1499344 2055284 2348896 2998688 4110568 8121041 8221136 16242082 16442272 32484164 56847287 64968328 89331451 113694574 129936656 178662902 227389148 259873312 357325804 454778296 625320157 714651608 909556592 1250640314 1429303216 1819113184 2501280628 2858606432 5002561256 10005122512 20010245024