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194235901606656 = 28337131931524287
BaseRepresentation
bin101100001010100000010001…
…111010101111101100000000
3221110201202210221120202221000
4230022200101322233230000
5200424330111302403111
61525034424044332000
755625036466343440
oct5412402172575400
9843652727522830
10194235901606656
1156986a8a8125a8
1219950276544000
13844c4a01ab9b0
1435d70d407a120
15176c7c5353c56
hexb0a811eafb00

194235901606656 has 1152 divisors, whose sum is σ = 768154900889600. Its totient is φ = 46965288222720.

The previous prime is 194235901606639. The next prime is 194235901606699. The reversal of 194235901606656 is 656606109532491.

194235901606656 is a `hidden beast` number, since 1 + 9 + 4 + 23 + 590 + 16 + 0 + 6 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×1942359016066563 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 194235901606593 and 194235901606602.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 370214145 + ... + 370738431.

Almost surely, 2194235901606656 is an apocalyptic number.

194235901606656 is a gapful number since it is divisible by the number (16) 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 194235901606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384077450444800).

194235901606656 is an abundant number, since it is smaller than the sum of its proper divisors (573918999282944).

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

194235901606656 is a wasteful number, since it uses less digits than its factorization.

194235901606656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524382 (or 524362 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 194235901606656 in words is "one hundred ninety-four trillion, two hundred thirty-five billion, nine hundred one million, six hundred six thousand, six hundred fifty-six".