Search a number
-
+
546452343540 = 22325192941612203
BaseRepresentation
bin1111111001110110001…
…10010000101011110100
31221020111012111021002200
413330323012100223310
532423113244443130
61055011534104500
754323412165345
oct7747306205364
91836435437080
10546452343540
111a0827113764
1289aa594b130
133c6b7c0669c
141c63c70c0cc
15e333d05760
hex7f3b190af4

546452343540 has 576 divisors, whose sum is σ = 1880167161600. Its totient is φ = 127849881600.

The previous prime is 546452343539. The next prime is 546452343589. The reversal of 546452343540 is 45343254645.

546452343540 is a `hidden beast` number, since 5 + 4 + 6 + 45 + 23 + 43 + 540 = 666.

It is a super-2 number, since 2×5464523435402 (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 248048079 + ... + 248050281.

It is an arithmetic number, because the mean of its divisors is an integer number (3264179100).

Almost surely, 2546452343540 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 546452343540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940083580800).

546452343540 is an abundant number, since it is smaller than the sum of its proper divisors (1333714818060).

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

546452343540 is a wasteful number, since it uses less digits than its factorization.

546452343540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 546452343540 in words is "five hundred forty-six billion, four hundred fifty-two million, three hundred forty-three thousand, five hundred forty".