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90500010024120 = 233548712011289423
BaseRepresentation
bin10100100100111100101100…
…111100110001110010111000
3102212102201100022011021012120
4110210330230330301302320
543330223010031232440
6520251044115441240
725030260420534204
oct2444745474616270
9385381308137176
1090500010024120
1126921925367954
12a1976122b6220
133b66164238028
14184c31c395b04
15a6e1a62dedd0
hex524f2cf31cb8

90500010024120 has 128 divisors (see below), whose sum is σ = 272284262000640. Its totient is φ = 24063709132800.

The previous prime is 90500010024071. The next prime is 90500010024169. The reversal of 90500010024120 is 2142001000509.

90500010024120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (90500010024071) and next prime (90500010024169).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69541729 + ... + 70831151.

It is an arithmetic number, because the mean of its divisors is an integer number (2127220796880).

Almost surely, 290500010024120 is an apocalyptic number.

It is an amenable number.

90500010024120 is an abundant number, since it is smaller than the sum of its proper divisors (181784251976520).

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

90500010024120 is a wasteful number, since it uses less digits than its factorization.

90500010024120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291125 (or 1291121 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 90500010024120 its reverse (2142001000509), we get a palindrome (92642011024629).

The spelling of 90500010024120 in words is "ninety trillion, five hundred billion, ten million, twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 487 974 1201 1461 1948 2402 2435 2922 3603 3896 4804 4870 5844 6005 7206 7305 9608 9740 11688 12010 14412 14610 18015 19480 24020 28824 29220 36030 48040 58440 72060 144120 584887 1169774 1289423 1754661 2339548 2578846 2924435 3509322 3868269 4679096 5157692 5848870 6447115 7018644 7736538 8773305 10315384 11697740 12894230 14037288 15473076 17546610 19341345 23395480 25788460 30946152 35093220 38682690 51576920 70186440 77365380 154730760 627949001 1255898002 1548597023 1883847003 2511796004 3097194046 3139745005 3767694006 4645791069 5023592008 6194388092 6279490010 7535388012 7742985115 9291582138 9419235015 12388776184 12558980020 15070776024 15485970230 18583164276 18838470030 23228955345 25117960040 30971940460 37166328552 37676940060 46457910690 61943880920 75353880120 92915821380 185831642760 754166750201 1508333500402 2262500250603 3016667000804 3770833751005 4525000501206 6033334001608 7541667502010 9050001002412 11312501253015 15083335004020 18100002004824 22625002506030 30166670008040 45250005012060 90500010024120