Search a number
-
+
42858736969356 = 2232711178323574649
BaseRepresentation
bin10011011111010110100111…
…10010101110011010001100
312121202020220001212210200200
421233223103302232122030
521104144143131004411
6231053010522453500
712012304312254330
oct1157532362563214
9177666801783620
1042858736969356
1112724319770030
124982388364290
131abb73b972969
14a825341277c0
154e4cc2902e56
hex26fad3cae68c

42858736969356 has 576 divisors, whose sum is σ = 144830880230400. Its totient is φ = 10344457912320.

The previous prime is 42858736969337. The next prime is 42858736969379. The reversal of 42858736969356 is 65396963785824.

42858736969356 is a `hidden beast` number, since 4 + 2 + 85 + 8 + 73 + 69 + 69 + 356 = 666.

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, 9218912920 + ... + 9218917568.

It is an arithmetic number, because the mean of its divisors is an integer number (251442500400).

Almost surely, 242858736969356 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 42858736969356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72415440115200).

42858736969356 is an abundant number, since it is smaller than the sum of its proper divisors (101972143261044).

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

42858736969356 is a wasteful number, since it uses less digits than its factorization.

42858736969356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7134 (or 7129 counting only the distinct ones).

The product of its digits is 14108774400, while the sum is 81.

The spelling of 42858736969356 in words is "forty-two trillion, eight hundred fifty-eight billion, seven hundred thirty-six million, nine hundred sixty-nine thousand, three hundred fifty-six".