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239838097068 = 223311382323879
BaseRepresentation
bin1101111101011101110…
…1101110111010101100
3211221001201200200221000
43133113131232322230
512412142023101233
6302102522440300
723220261121413
oct3372735567254
9757051620830
10239838097068
1192795398169
123a595363090
1319802995a8b
14b872d8647a
15638ab29d13
hex37d776eeac

239838097068 has 96 divisors (see below), whose sum is σ = 628093670400. Its totient is φ = 79138950912.

The previous prime is 239838097043. The next prime is 239838097099. The reversal of 239838097068 is 860790838932.

239838097068 is a `hidden beast` number, since 23 + 98 + 380 + 97 + 0 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 239838096996 and 239838097014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10031953 + ... + 10055831.

It is an arithmetic number, because the mean of its divisors is an integer number (6542642400).

Almost surely, 2239838097068 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 239838097068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314046835200).

239838097068 is an abundant number, since it is smaller than the sum of its proper divisors (388255573332).

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

239838097068 is a wasteful number, since it uses less digits than its factorization.

239838097068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24828 (or 24820 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 239838097068 in words is "two hundred thirty-nine billion, eight hundred thirty-eight million, ninety-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 823 1017 1356 1646 2034 2469 3051 3292 4068 4938 6102 7407 9876 12204 14814 22221 23879 29628 44442 47758 71637 88884 92999 95516 143274 185998 214911 278997 286548 371996 429822 557994 644733 836991 859644 1115988 1289466 1673982 2510973 2578932 2698327 3347964 5021946 5396654 8094981 10043892 10793308 16189962 19652417 24284943 32379924 39304834 48569886 58957251 72854829 78609668 97139772 117914502 145709658 176871753 235829004 291419316 353743506 530615259 707487012 1061230518 2122461036 2220723121 4441446242 6662169363 8882892484 13324338726 19986508089 26648677452 39973016178 59959524267 79946032356 119919048534 239838097068