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38225078085 = 35171931307829
BaseRepresentation
bin100011100110011001…
…000110011101000101
310122122222020011100210
4203212121012131011
51111241104444320
625321012030033
72522152542225
oct434631063505
9118588204323
1038225078085
1115236072a27
1274a9602319
1337b24330cc
141bc8982085
15edac840e0
hex8e6646745

38225078085 has 128 divisors (see below), whose sum is σ = 70679347200. Its totient is φ = 17512796160.

The previous prime is 38225078083. The next prime is 38225078107. The reversal of 38225078085 is 58087052283.

It is not a de Polignac number, because 38225078085 - 21 = 38225078083 is a prime.

It is a super-2 number, since 2×382250780852 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38225078083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46109451 + ... + 46110279.

It is an arithmetic number, because the mean of its divisors is an integer number (552182400).

Almost surely, 238225078085 is an apocalyptic number.

It is an amenable number.

38225078085 is a deficient number, since it is larger than the sum of its proper divisors (32454269115).

38225078085 is a wasteful number, since it uses less digits than its factorization.

38225078085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211.

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 38225078085 in words is "thirty-eight billion, two hundred twenty-five million, seventy-eight thousand, eighty-five".

Divisors: 1 3 5 15 17 19 31 51 57 85 93 95 155 255 285 307 323 465 527 589 829 921 969 1535 1581 1615 1767 2487 2635 2945 4145 4605 4845 5219 5833 7905 8835 9517 10013 12435 14093 15657 15751 17499 25699 26095 28551 29165 30039 42279 47253 47585 50065 70465 77097 78285 78755 87495 99161 128495 142755 150195 161789 180823 211395 236265 254503 267767 297483 385485 436883 485367 488281 495805 542469 763509 803301 808945 904115 1272515 1310649 1338835 1464843 1487415 2184415 2426835 2441405 2712345 3073991 3817545 4016505 4326551 4835557 6553245 7324215 7889593 8300777 9221973 12979653 14506671 15369955 21632755 23668779 24177785 24902331 39447965 41503885 46109865 64898265 72533355 82204469 118343895 124511655 134123081 149902267 246613407 402369243 411022345 449706801 670615405 749511335 1233067035 2011846215 2248534005 2548338539 7645015617 12741692695 38225078085