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90058139136 = 293272791981
BaseRepresentation
bin101001111011111100…
…0100010011000000000
322121110022021111000200
41103313320202120000
52433414340423021
6105212214245200
76335503360260
oct1236770423000
9277408244020
1090058139136
1135214520969
1215554356800
138652b9a234
1445049137a0
152521513126
hex14f7e22600

90058139136 has 120 divisors (see below), whose sum is σ = 297044548944. Its totient is φ = 25730887680.

The previous prime is 90058139131. The next prime is 90058139189. The reversal of 90058139136 is 63193185009.

90058139136 is a `hidden beast` number, since 9 + 0 + 0 + 581 + 39 + 1 + 36 = 666.

It is a super-2 number, since 2×900581391362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90058139091 and 90058139100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90058139131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1363735 + ... + 1428246.

Almost surely, 290058139136 is an apocalyptic number.

90058139136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90058139136 is an abundant number, since it is smaller than the sum of its proper divisors (206986409808).

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

90058139136 is a wasteful number, since it uses less digits than its factorization.

90058139136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792012 (or 2791993 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 90058139136 in words is "ninety billion, fifty-eight million, one hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10752 16128 32256 2791981 5583962 8375943 11167924 16751886 19543867 22335848 25127829 33503772 39087734 44671696 50255658 58631601 67007544 78175468 89343392 100511316 117263202 134015088 156350936 175894803 178686784 201022632 234526404 268030176 312701872 351789606 357373568 402045264 469052808 536060352 625403744 703579212 714747136 804090528 938105616 1072120704 1250807488 1407158424 1429494272 1608181056 1876211232 2144241408 2501614976 2814316848 3216362112 3752422464 4288482816 5003229952 5628633696 6432724224 7504844928 10006459904 11257267392 12865448448 15009689856 22514534784 30019379712 45029069568 90058139136