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38442295488 = 2633156911351
BaseRepresentation
bin100011110011010101…
…101110000011000000
310200020002221221121210
4203303111232003000
51112212211423423
625354331450120
72530431056142
oct436325560300
9120202857553
1038442295488
1115337745643
12754a2b6940
13381843810c
141c09766c92
15eeed8eb93
hex8f356e0c0

38442295488 has 112 divisors (see below), whose sum is σ = 105186723840. Its totient is φ = 12377856000.

The previous prime is 38442295481. The next prime is 38442295499. The reversal of 38442295488 is 88459224483.

It is not an unprimeable number, because it can be changed into a prime (38442295481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3381013 + ... + 3392363.

Almost surely, 238442295488 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 38442295488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52593361920).

38442295488 is an abundant number, since it is smaller than the sum of its proper divisors (66744428352).

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

38442295488 is a wasteful number, since it uses less digits than its factorization.

38442295488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11966 (or 11956 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 57.

The spelling of 38442295488 in words is "thirty-eight billion, four hundred forty-two million, two hundred ninety-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 569 744 992 1138 1488 1707 1984 2276 2976 3414 4552 5952 6828 9104 11351 13656 17639 18208 22702 27312 34053 35278 36416 45404 52917 54624 68106 70556 90808 105834 109248 136212 141112 181616 211668 272424 282224 351881 363232 423336 544848 564448 703762 726464 846672 1055643 1089696 1128896 1407524 1693344 2111286 2179392 2815048 3386688 4222572 5630096 6458719 8445144 11260192 12917438 16890288 19376157 22520384 25834876 33780576 38752314 51669752 67561152 77504628 103339504 155009256 200220289 206679008 310018512 400440578 413358016 600660867 620037024 800881156 1201321734 1240074048 1601762312 2402643468 3203524624 4805286936 6407049248 9610573872 12814098496 19221147744 38442295488