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36220029156 = 2232191492771283
BaseRepresentation
bin100001101110111000…
…011100100011100100
310110111020101010022100
4201232320130203210
51043134311413111
624350024532100
72421365111433
oct415670344344
9113436333270
1036220029156
11143a7297aa3
12702a021030
133552c0b91c
141a7857111a
15e1ec25756
hex86ee1c8e4

36220029156 has 144 divisors (see below), whose sum is σ = 97447896000. Its totient is φ = 11311301376.

The previous prime is 36220029151. The next prime is 36220029161. The reversal of 36220029156 is 65192002263.

36220029156 is a `hidden beast` number, since 3 + 622 + 0 + 0 + 29 + 1 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (36220029151) and next prime (36220029161).

It is a super-2 number, since 2×362200291562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 36220029156.

It is not an unprimeable number, because it can be changed into a prime (36220029151) 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 47 ways as a sum of consecutive naturals, for example, 28230091 + ... + 28231373.

It is an arithmetic number, because the mean of its divisors is an integer number (676721500).

Almost surely, 236220029156 is an apocalyptic number.

36220029156 is a gapful number since it is divisible by the number (36) 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 36220029156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48723948000).

36220029156 is an abundant number, since it is smaller than the sum of its proper divisors (61227866844).

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

36220029156 is a wasteful number, since it uses less digits than its factorization.

36220029156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 36220029156 in words is "thirty-six billion, two hundred twenty million, twenty-nine thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 149 171 228 277 298 342 447 554 596 684 831 894 1108 1283 1341 1662 1788 2493 2566 2682 2831 3324 3849 4986 5132 5263 5364 5662 7698 8493 9972 10526 11324 11547 15396 15789 16986 21052 23094 24377 25479 31578 33972 41273 46188 47367 48754 50958 63156 73131 82546 94734 97508 101916 123819 146262 165092 189468 191167 219393 247638 292524 355391 371457 382334 438786 495276 573501 710782 742914 764668 784187 877572 1066173 1147002 1421564 1485828 1568374 1720503 2132346 2294004 2352561 3136748 3198519 3441006 3632173 4264692 4705122 6397038 6752429 6882012 7057683 7264346 9410244 10896519 12794076 13504858 14115366 14528692 20257287 21793038 27009716 28230732 32689557 40514574 43586076 52953259 60771861 65379114 81029148 105906518 121543722 130758228 158859777 211813036 243087444 317719554 476579331 635439108 953158662 1006111921 1906317324 2012223842 3018335763 4024447684 6036671526 9055007289 12073343052 18110014578 36220029156