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55187134464 = 2113711315371
BaseRepresentation
bin110011011001011010…
…001101100000000000
312021110002022220102010
4303121122031200000
51401010401300324
641204055452520
73662405621520
oct633132154000
9167402286363
1055187134464
112144a775a40
12a842087140
1352865cc967
1429575c5680
15167ee63829
hexcd968d800

55187134464 has 768 divisors, whose sum is σ = 195641671680. Its totient is φ = 13418496000.

The previous prime is 55187134349. The next prime is 55187134477. The reversal of 55187134464 is 46443178155.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 777283549 + ... + 777283619.

It is an arithmetic number, because the mean of its divisors is an integer number (254741760).

Almost surely, 255187134464 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 55187134464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97820835840).

55187134464 is an abundant number, since it is smaller than the sum of its proper divisors (140454537216).

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

55187134464 is a wasteful number, since it uses less digits than its factorization.

55187134464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The spelling of 55187134464 in words is "fifty-five billion, one hundred eighty-seven million, one hundred thirty-four thousand, four hundred sixty-four".