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68263653150 = 234527111941281
BaseRepresentation
bin111111100100110101…
…001010111100011110
320112012102002212210000
4333210311022330132
52104300443400100
651205422555130
74634431322640
oct774465127436
9215172085700
1068263653150
1126a50063a80
1211291438aa6
13658b7b3294
14343818c890
151b97e7c900
hexfe4d4af1e

68263653150 has 960 divisors, whose sum is σ = 255898621440. Its totient is φ = 13063680000.

The previous prime is 68263653121. The next prime is 68263653179. The reversal of 68263653150 is 5135636286.

68263653150 is a `hidden beast` number, since 6 + 8 + 2 + 63 + 6 + 531 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (68263653121) and next prime (68263653179).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 68263653096 and 68263653105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 242931010 + ... + 242931290.

It is an arithmetic number, because the mean of its divisors is an integer number (266561064).

Almost surely, 268263653150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68263653150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127949310720).

68263653150 is an abundant number, since it is smaller than the sum of its proper divisors (187634968290).

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

68263653150 is a wasteful number, since it uses less digits than its factorization.

68263653150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 68263653150 in words is "sixty-eight billion, two hundred sixty-three million, six hundred fifty-three thousand, one hundred fifty".