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115152553525050 = 23252938892725501
BaseRepresentation
bin11010001011101100001011…
…000011000011111100111010
3120002201110212110000221020200
4122023230023003003330322
5110043124412200300200
61044524204111503030
733153332424040506
oct3213541303037472
9502643773027220
10115152553525050
1133766a18497a88
1210ab9405227a76
134c33aba965032
1420615b025d306
15d4a5aecb3800
hex68bb0b0c3f3a

115152553525050 has 72 divisors (see below), whose sum is σ = 309379935781020. Its totient is φ = 30707009280000.

The previous prime is 115152553524991. The next prime is 115152553525117. The reversal of 115152553525050 is 50525355251511.

115152553525050 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 5 + 25 + 53 + 525 + 0 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 19296489771729 + 95856063753321 = 4392777^2 + 9790611^2 .

It is a super-3 number, since 3×1151525535250503 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 115152553524987 and 115152553525005.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40887300 + ... + 43612800.

Almost surely, 2115152553525050 is an apocalyptic number.

115152553525050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115152553525050 is an abundant number, since it is smaller than the sum of its proper divisors (194227382255970).

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

115152553525050 is a wasteful number, since it uses less digits than its factorization.

115152553525050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819408 (or 2819400 counting only the distinct ones).

The product of its (nonzero) digits is 937500, while the sum is 45.

The spelling of 115152553525050 in words is "one hundred fifteen trillion, one hundred fifty-two billion, five hundred fifty-three million, five hundred twenty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 93889 187778 281667 469445 563334 845001 938890 1408335 1690002 2347225 2725501 2816670 4225005 4694450 5451002 7041675 8176503 8450010 13627505 14083350 16353006 21125025 24529509 27255010 40882515 42250050 49059018 68137525 81765030 122647545 136275050 204412575 245295090 408825150 613237725 1226475450 255894563389 511789126778 767683690167 1279472816945 1535367380334 2303051070501 2558945633890 3838418450835 4606102141002 6397364084725 7676836901670 11515255352505 12794728169450 19192092254175 23030510705010 38384184508350 57576276762525 115152553525050