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136900405850 = 252131729427213
BaseRepresentation
bin111111101111111100…
…1100110101001011010
3111002100211021011220212
41333133321212221122
54220333000441400
6142520254451122
712614343151445
oct1773771465132
9432324234825
10136900405850
115307178a18a
1222647803aa2
13cba9679910
1468a9adc65c
153863a58335
hex1fdfe66a5a

136900405850 has 96 divisors (see below), whose sum is σ = 300365619120. Its totient is φ = 45933834240.

The previous prime is 136900405847. The next prime is 136900405951. The reversal of 136900405850 is 58504009631.

It can be written as a sum of positive squares in 24 ways, for example, as 14817949441 + 122082456409 = 121729^2 + 349403^2 .

It is a super-2 number, since 2×1369004058502 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 136900405798 and 136900405807.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106844 + ... + 534056.

Almost surely, 2136900405850 is an apocalyptic number.

136900405850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136900405850 is an abundant number, since it is smaller than the sum of its proper divisors (163465213270).

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

136900405850 is a wasteful number, since it uses less digits than its factorization.

136900405850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427284 (or 427279 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 136900405850 in words is "one hundred thirty-six billion, nine hundred million, four hundred five thousand, eight hundred fifty".

Divisors: 1 2 5 10 13 17 25 26 29 34 50 58 65 85 130 145 170 221 290 325 377 425 442 493 650 725 754 850 986 1105 1450 1885 2210 2465 3770 4930 5525 6409 9425 11050 12325 12818 18850 24650 32045 64090 160225 320450 427213 854426 2136065 4272130 5553769 7262621 10680325 11107538 12389177 14525242 21360650 24778354 27768845 36313105 55537690 61945885 72626210 94414073 123891770 138844225 161059301 181565525 188828146 210616009 277688450 309729425 322118602 363131050 421232018 472070365 619458850 805296505 944140730 1053080045 1610593010 2106160090 2360351825 2738008117 4026482525 4720703650 5265400225 5476016234 8052965050 10530800450 13690040585 27380081170 68450202925 136900405850