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31350468150 = 2335237627637
BaseRepresentation
bin11101001100101000…
…100010111000110110
32222220212102210102000
4131030220202320312
51003201204440100
622222513200130
72156615403531
oct351450427066
988825383360
1031350468150
1112328581811
1260ab260046
132c580c0591
141735945a18
15c37487900
hex74ca22e36

31350468150 has 96 divisors (see below), whose sum is σ = 88722907680. Its totient is φ = 8134162560.

The previous prime is 31350468101. The next prime is 31350468197. The reversal of 31350468150 is 5186405313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263869 + ... + 363768.

It is an arithmetic number, because the mean of its divisors is an integer number (924196955).

Almost surely, 231350468150 is an apocalyptic number.

31350468150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31350468150 is an abundant number, since it is smaller than the sum of its proper divisors (57372439530).

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

31350468150 is a wasteful number, since it uses less digits than its factorization.

31350468150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627695 (or 627684 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

It can be divided in two parts, 31350 and 468150, that added together give a triangular number (499500 = T999).

The spelling of 31350468150 in words is "thirty-one billion, three hundred fifty million, four hundred sixty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 37 45 50 54 74 75 90 111 135 150 185 222 225 270 333 370 450 555 666 675 925 999 1110 1350 1665 1850 1998 2775 3330 4995 5550 8325 9990 16650 24975 49950 627637 1255274 1882911 3138185 3765822 5648733 6276370 9414555 11297466 15690925 16946199 18829110 23222569 28243665 31381850 33892398 46445138 47072775 56487330 69667707 84730995 94145550 116112845 139335414 141218325 169461990 209003121 232225690 282436650 348338535 418006242 423654975 580564225 627009363 696677070 847309950 1045015605 1161128450 1254018726 1741692675 2090031210 3135046815 3483385350 5225078025 6270093630 10450156050 15675234075 31350468150