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38897407640 = 23571319953699
BaseRepresentation
bin100100001110011101…
…110101011010011000
310201101211100001010102
4210032131311122120
51114130214021030
625511430234532
72544625336550
oct441635653230
9121354301112
1038897407640
1115550633093
1276567b5a48
13388b804950
141c4dd96160
151029cdcc45
hex90e775698

38897407640 has 128 divisors (see below), whose sum is σ = 108259200000. Its totient is φ = 12248299008.

The previous prime is 38897407607. The next prime is 38897407643. The reversal of 38897407640 is 4670479883.

38897407640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×388974076402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38897407643) 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, 697511 + ... + 751209.

It is an arithmetic number, because the mean of its divisors is an integer number (845775000).

Almost surely, 238897407640 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 38897407640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54129600000).

38897407640 is an abundant number, since it is smaller than the sum of its proper divisors (69361792360).

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

38897407640 is a wasteful number, since it uses less digits than its factorization.

38897407640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53929 (or 53925 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 38897407640 in words is "thirty-eight billion, eight hundred ninety-seven million, four hundred seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 199 260 280 364 398 455 520 728 796 910 995 1393 1592 1820 1990 2587 2786 3640 3980 5174 5572 6965 7960 10348 11144 12935 13930 18109 20696 25870 27860 36218 51740 53699 55720 72436 90545 103480 107398 144872 181090 214796 268495 362180 375893 429592 536990 698087 724360 751786 1073980 1396174 1503572 1879465 2147960 2792348 3007144 3490435 3758930 4886609 5584696 6980870 7517860 9773218 10686101 13961740 15035720 19546436 21372202 24433045 27923480 39092872 42744404 48866090 53430505 74802707 85488808 97732180 106861010 138919313 149605414 195464360 213722020 277838626 299210828 374013535 427444040 555677252 598421656 694596565 748027070 972435191 1111354504 1389193130 1496054140 1944870382 2778386260 2992108280 3889740764 4862175955 5556772520 7779481528 9724351910 19448703820 38897407640