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6870009450150 = 23352711172327349
BaseRepresentation
bin110001111111000110001…
…1110010000111010100110
3220022202200202210211221000
41203332030132100322212
51400024234404401100
622340012212534130
71306225144552260
oct143761436207246
926282622724830
106870009450150
112209611263260
1292b554321346
133aaaba6b2302
1419a72010ab30
15bda88605900
hex63f8c790ea6

6870009450150 has 1152 divisors, whose sum is σ = 26127577728000. Its totient is φ = 1284971212800.

The previous prime is 6870009450103. The next prime is 6870009450179. The reversal of 6870009450150 is 510549000786.

6870009450150 is a `hidden beast` number, since 6 + 8 + 7 + 0 + 0 + 0 + 94 + 501 + 50 = 666.

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 = 6870009450096 and 6870009450105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 934818676 + ... + 934826024.

It is an arithmetic number, because the mean of its divisors is an integer number (22680189000).

Almost surely, 26870009450150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6870009450150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063788864000).

6870009450150 is an abundant number, since it is smaller than the sum of its proper divisors (19257568277850).

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

6870009450150 is a wasteful number, since it uses less digits than its factorization.

6870009450150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7451 (or 7417 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 6870009450150 in words is "six trillion, eight hundred seventy billion, nine million, four hundred fifty thousand, one hundred fifty".