Search a number
-
+
4136636338380 = 223257131961321683
BaseRepresentation
bin111100001100100010101…
…111010101000011001100
3112122110101022001212101100
4330030202233111003030
51020233312400312010
612444202224543100
7604601463502560
oct74144257250314
915573338055340
104136636338380
111355379409a77
1256985b181a90
132401108488c0
141042ddd3d6a0
157290b7512c0
hex3c322bd50cc

4136636338380 has 576 divisors, whose sum is σ = 16283525207040. Its totient is φ = 825461839872.

The previous prime is 4136636338379. The next prime is 4136636338451. The reversal of 4136636338380 is 838336366314.

4136636338380 is a `hidden beast` number, since 41 + 36 + 63 + 63 + 383 + 80 = 666.

It is a super-2 number, since 2×41366363383802 (a number of 26 digits) contains 22 as substring.

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, 190767019 + ... + 190788701.

It is an arithmetic number, because the mean of its divisors is an integer number (28270009040).

Almost surely, 24136636338380 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 4136636338380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8141762603520).

4136636338380 is an abundant number, since it is smaller than the sum of its proper divisors (12146888868660).

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

4136636338380 is a wasteful number, since it uses less digits than its factorization.

4136636338380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22350 (or 22345 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 4136636338380 in words is "four trillion, one hundred thirty-six billion, six hundred thirty-six million, three hundred thirty-eight thousand, three hundred eighty".