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38426840855624 = 231317149263554639
BaseRepresentation
bin10001011110010111100100…
…01100101111010001001000
312001001120101121110021100002
420233023302030233101020
520014041132224334444
6213421014052102132
711044150636666034
oct1057136214572110
9161046347407302
1038426840855624
11112758059717a1
124387467304948
1318598353a1120
1496bc248451c4
15469884c33d4e
hex22f2f232f448

38426840855624 has 128 divisors (see below), whose sum is σ = 83022952320000. Its totient is φ = 16517101891584.

The previous prime is 38426840855621. The next prime is 38426840855639. The reversal of 38426840855624 is 42655804862483.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (38426840855621) 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, 69005297 + ... + 69559935.

It is an arithmetic number, because the mean of its divisors is an integer number (648616815000).

Almost surely, 238426840855624 is an apocalyptic number.

38426840855624 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38426840855624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41511476160000).

38426840855624 is an abundant number, since it is smaller than the sum of its proper divisors (44596111464376).

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

38426840855624 is a wasteful number, since it uses less digits than its factorization.

38426840855624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555087 (or 555083 counting only the distinct ones).

The product of its (nonzero) digits is 353894400, while the sum is 65.

The spelling of 38426840855624 in words is "thirty-eight trillion, four hundred twenty-six billion, eight hundred forty million, eight hundred fifty-five thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 149 221 263 298 442 526 596 884 1052 1192 1768 1937 2104 2533 3419 3874 4471 5066 6838 7748 8942 10132 13676 15496 17884 20264 27352 32929 35768 39187 58123 65858 78374 116246 131716 156748 232492 263432 313496 464984 509431 554639 666179 1018862 1109278 1332358 2037724 2218556 2664716 4075448 4437112 5329432 7210307 8660327 9428863 14420614 17320654 18857726 28841228 34641308 37715452 57682456 69282616 75430904 82641211 122575219 145870057 165282422 245150438 291740114 330564844 490300876 583480228 661129688 980601752 1074335743 1166960456 1404900587 1896310741 2148671486 2479790969 2809801174 3792621482 4297342972 4959581938 5619602348 7585242964 8594685944 9919163876 11239204696 15170485928 18263707631 19838327752 21734638493 32237282597 36527415262 43469276986 64474565194 73054830524 86938553972 128949130388 146109661048 173877107944 257898260776 282550300409 369488854381 565100600818 738977708762 1130201201636 1477955417524 2260402403272 2955910835048 4803355106953 9606710213906 19213420427812 38426840855624