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21893214234672 = 243211241241127163
BaseRepresentation
bin1001111101001011010010…
…10000011110100000110000
32212111222012202001102022100
410332211221100132200300
510332144300321002142
6114321334225340400
74416506154344034
oct476455120364060
985458182042270
1021893214234672
116a80950753900
122557075197700
13c2a6a1231c01
145598cc77a1c4
1527e75d02bb4c
hex13e96941e830

21893214234672 has 360 divisors, whose sum is σ = 69276433930704. Its totient is φ = 6445587456000.

The previous prime is 21893214234637. The next prime is 21893214234679. The reversal of 21893214234672 is 27643241239812.

21893214234672 is a `hidden beast` number, since 2 + 1 + 8 + 9 + 32 + 142 + 3 + 467 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (21893214234679) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172102963 + ... + 172230125.

Almost surely, 221893214234672 is an apocalyptic number.

21893214234672 is a gapful number since it is divisible by the number (22) 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 21893214234672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34638216965352).

21893214234672 is an abundant number, since it is smaller than the sum of its proper divisors (47383219696032).

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

21893214234672 is a wasteful number, since it uses less digits than its factorization.

21893214234672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127481 (or 127461 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 21893214234672 in words is "twenty-one trillion, eight hundred ninety-three billion, two hundred fourteen million, two hundred thirty-four thousand, six hundred seventy-two".