Search a number
-
+
546399378096 = 2431113177959273
BaseRepresentation
bin1111111001101111111…
…00001101101010110000
31221020100111211100011120
413330313330031222300
532423011220044341
61055002402542240
754322200040215
oct7746774155260
91836314740146
10546399378096
111a07aa227a70
1289a90067980
133c6a9c505a0
141c635681b0c
15e32e342066
hex7f37f0dab0

546399378096 has 320 divisors, whose sum is σ = 1778106193920. Its totient is φ = 142025195520.

The previous prime is 546399378073. The next prime is 546399378127. The reversal of 546399378096 is 690873993645.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 546399378096.

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, 9188716 + ... + 9247988.

It is an arithmetic number, because the mean of its divisors is an integer number (5556581856).

Almost surely, 2546399378096 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 546399378096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889053096960).

546399378096 is an abundant number, since it is smaller than the sum of its proper divisors (1231706815824).

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

546399378096 is a wasteful number, since it uses less digits than its factorization.

546399378096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59404 (or 59398 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 69.

The spelling of 546399378096 in words is "five hundred forty-six billion, three hundred ninety-nine million, three hundred seventy-eight thousand, ninety-six".