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36132020472 = 23319412836829
BaseRepresentation
bin100001101001101000…
…101110000011111000
310110021002202211002110
4201221220232003320
51042444244123342
624333202332320
72416246051362
oct415150560370
9113232684073
1036132020472
1114361646849
12700465a0a0
13353a906192
141a6a9c1d32
15e1713dc9c
hex869a2e0f8

36132020472 has 128 divisors (see below), whose sum is σ = 97761888000. Its totient is φ = 11090856960.

The previous prime is 36132020467. The next prime is 36132020479. The reversal of 36132020472 is 27402023163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36132020479) 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, 5287554 + ... + 5294382.

It is an arithmetic number, because the mean of its divisors is an integer number (763764750).

Almost surely, 236132020472 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 36132020472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48880944000).

36132020472 is an abundant number, since it is smaller than the sum of its proper divisors (61629867528).

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

36132020472 is a wasteful number, since it uses less digits than its factorization.

36132020472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7181 (or 7177 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 36132020472 in words is "thirty-six billion, one hundred thirty-two million, twenty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 152 164 228 246 283 328 456 492 566 779 849 984 1132 1558 1698 2264 2337 3116 3396 4674 5377 6232 6792 6829 9348 10754 11603 13658 16131 18696 20487 21508 23206 27316 32262 34809 40974 43016 46412 54632 64524 69618 81948 92824 129048 129751 139236 163896 220457 259502 278472 279989 389253 440914 519004 559978 661371 778506 839967 881828 1038008 1119956 1322742 1557012 1679934 1763656 1932607 2239912 2645484 3114024 3359868 3865214 5290968 5319791 5797821 6719736 7730428 10639582 11595642 15460856 15959373 21279164 23191284 31918746 36719533 42558328 46382568 63837492 73439066 79236887 110158599 127674984 146878132 158473774 220317198 237710661 293756264 316947548 440634396 475421322 633895096 881268792 950842644 1505500853 1901685288 3011001706 4516502559 6022003412 9033005118 12044006824 18066010236 36132020472