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4672165930992 = 24327311795871423
BaseRepresentation
bin100001111111101001011…
…0010100110011111110000
3121112122200021110220001100
41003333102302212133300
51103022043434242432
613534210254404400
7661360425103320
oct103772262463760
917478607426040
104672165930992
1115414aa95724a
126355b6b00700
1327b777833b51
141221c3b29280
158180167607c
hex43fd2ca67f0

4672165930992 has 480 divisors, whose sum is σ = 15549084794880. Its totient is φ = 1281536432640.

The previous prime is 4672165930987. The next prime is 4672165931057. The reversal of 4672165930992 is 2990395612764.

4672165930992 is a `hidden beast` number, since 4 + 67 + 216 + 59 + 309 + 9 + 2 = 666.

It is a super-4 number, since 4×46721659309924 (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3283320393 + ... + 3283321815.

It is an arithmetic number, because the mean of its divisors is an integer number (32393926656).

Almost surely, 24672165930992 is an apocalyptic number.

4672165930992 is a gapful number since it is divisible by the number (42) 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 4672165930992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7774542397440).

4672165930992 is an abundant number, since it is smaller than the sum of its proper divisors (10876918863888).

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

4672165930992 is a wasteful number, since it uses less digits than its factorization.

4672165930992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 4672165930992 in words is "four trillion, six hundred seventy-two billion, one hundred sixty-five million, nine hundred thirty thousand, nine hundred ninety-two".