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113772637356 = 223731101432589
BaseRepresentation
bin110100111110101100…
…0001010110010101100
3101212200000021210220120
41221331120022302230
53331001243343411
6124133314244540
711135251314120
oct1517530126254
9355600253816
10113772637356
1144283762424
121a072286750
13a961ca38c1
145714271580
152e5d40b106
hex1a7d60acac

113772637356 has 96 divisors (see below), whose sum is σ = 316282122240. Its totient is φ = 31146336000.

The previous prime is 113772637331. The next prime is 113772637399. The reversal of 113772637356 is 653736277311.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 113772637299 and 113772637308.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 46710 + ... + 479298.

It is an arithmetic number, because the mean of its divisors is an integer number (3294605440).

Almost surely, 2113772637356 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 113772637356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158141061120).

113772637356 is an abundant number, since it is smaller than the sum of its proper divisors (202509484884).

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

113772637356 is a wasteful number, since it uses less digits than its factorization.

113772637356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432735 (or 432733 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 51.

The spelling of 113772637356 in words is "one hundred thirteen billion, seven hundred seventy-two million, six hundred thirty-seven thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 101 124 186 202 217 303 372 404 434 606 651 707 868 1212 1302 1414 2121 2604 2828 3131 4242 6262 8484 9393 12524 18786 21917 37572 43834 65751 87668 131502 263004 432589 865178 1297767 1730356 2595534 3028123 5191068 6056246 9084369 12112492 13410259 18168738 26820518 36337476 40230777 43691489 53641036 80461554 87382978 93871813 131074467 160923108 174765956 187743626 262148934 281615439 305840423 375487252 524297868 563230878 611680846 917521269 1126461756 1223361692 1354436159 1835042538 2708872318 3670085076 4063308477 5417744636 8126616954 9481053113 16253233908 18962106226 28443159339 37924212452 56886318678 113772637356