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5467138740 = 22345739839
BaseRepresentation
bin1010001011101110…
…11110101010110100
3112010000101102110000
411011313132222310
542144041414430
62302255431300
7252323625000
oct50567365264
915100342400
105467138740
11235606a288
121086b25530
1369187954b
1439c141700
1521ee7ce60
hex145ddeab4

5467138740 has 240 divisors, whose sum is σ = 20002752000. Its totient is φ = 1249504704.

The previous prime is 5467138693. The next prime is 5467138757. The reversal of 5467138740 is 478317645.

5467138740 is a `hidden beast` number, since 546 + 7 + 1 + 38 + 74 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 550741 + ... + 560579.

It is an arithmetic number, because the mean of its divisors is an integer number (83344800).

Almost surely, 25467138740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5467138740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10001376000).

5467138740 is an abundant number, since it is smaller than the sum of its proper divisors (14535613260).

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

5467138740 is a wasteful number, since it uses less digits than its factorization.

5467138740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9881 (or 9856 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 5467138740 is about 73940.1023802375. The cubic root of 5467138740 is about 1761.6516369832.

The spelling of 5467138740 in words is "five billion, four hundred sixty-seven million, one hundred thirty-eight thousand, seven hundred forty".