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96408966150 = 23452731163673
BaseRepresentation
bin101100111001001101…
…1000001010000000110
3100012211220110220220000
41121302123001100012
53034421143404100
6112142322422130
76652050456030
oct1316233012006
9305756426800
1096408966150
1137983391232
1216827201946
13912584b743
144948166c50
152793d49900
hex16726c1406

96408966150 has 480 divisors, whose sum is σ = 318428571648. Its totient is φ = 21163161600.

The previous prime is 96408966127. The next prime is 96408966151. The reversal of 96408966150 is 5166980469.

It is a happy number.

96408966150 is a `hidden beast` number, since 96 + 408 + 96 + 61 + 5 + 0 = 666.

It is a super-2 number, since 2×964089661502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96408966151) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 143252214 + ... + 143252886.

Almost surely, 296408966150 is an apocalyptic number.

96408966150 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96408966150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159214285824).

96408966150 is an abundant number, since it is smaller than the sum of its proper divisors (222019605498).

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

96408966150 is a wasteful number, since it uses less digits than its factorization.

96408966150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 96408966150 in words is "ninety-six billion, four hundred eight million, nine hundred sixty-six thousand, one hundred fifty".