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545395022417322 = 233731122833072801
BaseRepresentation
bin111110000000010001010110…
…0100100101100110110101010
32122112002020212211222202101000
41330000202230210230312222
51032441223001214323242
65211543003035535430
7222610330041105000
oct17400425444546652
92575066784882330
10545395022417322
11148863803810200
12512052615ba576
131a5426b735093c
14989738d376a70
15430be9975aa4c
hex1f008ac92cdaa

545395022417322 has 768 divisors, whose sum is σ = 1564696336896000. Its totient is φ = 140650437312000.

The previous prime is 545395022417291. The next prime is 545395022417327. The reversal of 545395022417322 is 223714220593545.

545395022417322 is a `hidden beast` number, since 5 + 4 + 5 + 3 + 9 + 502 + 2 + 41 + 73 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (545395022417327) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 194714394322 + ... + 194714397122.

It is an arithmetic number, because the mean of its divisors is an integer number (2037365022000).

Almost surely, 2545395022417322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545395022417322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782348168448000).

545395022417322 is an abundant number, since it is smaller than the sum of its proper divisors (1019301314478678).

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

545395022417322 is a wasteful number, since it uses less digits than its factorization.

545395022417322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 545395022417322 in words is "five hundred forty-five trillion, three hundred ninety-five billion, twenty-two million, four hundred seventeen thousand, three hundred twenty-two".