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36225121826070 = 23253125801503233
BaseRepresentation
bin10000011110010010100011…
…00001001011010100010110
311202021002101000122222122100
420033021101201023110112
514222003022141413240
6205013331412142530
710426115201014002
oct1017112141132426
9152232330588570
1036225121826070
11105a6a9597a431
124090808007a46
13172a02563a848
148d343b877702
1542c47291ee30
hex20f25184b516

36225121826070 has 96 divisors (see below), whose sum is σ = 97227514185984. Its totient is φ = 9348037632000.

The previous prime is 36225121826063. The next prime is 36225121826071. The reversal of 36225121826070 is 7062812152263.

36225121826070 is a `hidden beast` number, since 3 + 6 + 2 + 2 + 512 + 1 + 8 + 2 + 60 + 70 = 666.

It is a super-2 number, since 2×362251218260702 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36225121826071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71733174 + ... + 72236406.

It is an arithmetic number, because the mean of its divisors is an integer number (1012786606104).

Almost surely, 236225121826070 is an apocalyptic number.

36225121826070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36225121826070 is an abundant number, since it is smaller than the sum of its proper divisors (61002392359914).

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

36225121826070 is a wasteful number, since it uses less digits than its factorization.

36225121826070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529078 (or 529075 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 36225121826070 in words is "thirty-six trillion, two hundred twenty-five billion, one hundred twenty-one million, eight hundred twenty-six thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 25801 51602 77403 129005 154806 232209 258010 387015 464418 503233 774030 799831 1006466 1161045 1509699 1599662 2322090 2399493 2516165 3019398 3999155 4529097 4798986 5032330 7198479 7548495 7998310 9058194 11997465 14396958 15096990 15600223 22645485 23994930 31200446 35992395 45290970 46800669 71984790 78001115 93601338 140402007 156002230 234003345 280804014 468006690 702010035 1404020070 12983914633 25967829266 38951743899 64919573165 77903487798 116855231697 129839146330 194758719495 233710463394 389517438990 402501353623 584276158485 805002707246 1168552316970 1207504060869 2012506768115 2415008121738 3622512182607 4025013536230 6037520304345 7245024365214 12075040608690 18112560913035 36225121826070