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10150329277152 = 2533231274021933
BaseRepresentation
bin1001001110110100111011…
…0001010101101011100000
31022221100202220021210001000
42103231032301111223200
52312300333243332102
633330555155112000
72065223423203251
oct223551661255340
938840686253030
1010150329277152
113263804292a49
12117b2508a2600
135882309b671c
142713c8514b28
151290778b601c
hex93b4ec55ae0

10150329277152 has 192 divisors, whose sum is σ = 31135560744960. Its totient is φ = 3210853105152.

The previous prime is 10150329277147. The next prime is 10150329277163. The reversal of 10150329277152 is 25177292305101.

10150329277152 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 0 + 329 + 277 + 1 + 52 = 666.

10150329277152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101503292771522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10150329277098 and 10150329277107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512778 + ... + 4534710.

It is an arithmetic number, because the mean of its divisors is an integer number (162164378880).

Almost surely, 210150329277152 is an apocalyptic number.

10150329277152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10150329277152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567780372480).

10150329277152 is an abundant number, since it is smaller than the sum of its proper divisors (20985231467808).

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

10150329277152 is a wasteful number, since it uses less digits than its factorization.

10150329277152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022102 (or 4022088 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 10150329277152 in words is "ten trillion, one hundred fifty billion, three hundred twenty-nine million, two hundred seventy-seven thousand, one hundred fifty-two".