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61033074102 = 23671113193171
BaseRepresentation
bin111000110101110110…
…101100110110110110
312211112111111102000000
4320311312230312312
51444443431332402
644012130332130
74260312366360
oct706566546666
9184474442000
1061033074102
112397a640a10
12b9b3a2a046
1359a87a7640
142d4db6dd30
1518c32b8c1c
hexe35dacdb6

61033074102 has 896 divisors, whose sum is σ = 203073454080. Its totient is φ = 13226976000.

The previous prime is 61033074061. The next prime is 61033074143. The reversal of 61033074102 is 20147033016.

61033074102 is a `hidden beast` number, since 610 + 3 + 3 + 0 + 7 + 41 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (61033074061) and next prime (61033074143).

It is a super-2 number, since 2×610330741022 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 859620727 + ... + 859620797.

It is an arithmetic number, because the mean of its divisors is an integer number (226644480).

Almost surely, 261033074102 is an apocalyptic number.

61033074102 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61033074102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101536727040).

61033074102 is an abundant number, since it is smaller than the sum of its proper divisors (142040379978).

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

61033074102 is a wasteful number, since it uses less digits than its factorization.

61033074102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 61033074102 in words is "sixty-one billion, thirty-three million, seventy-four thousand, one hundred two".