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239874261216 = 25397106924097
BaseRepresentation
bin1101111101100110011…
…1101100000011100000
3211221011020202000210220
43133121213230003200
512412230302324331
6302110253523040
723221210402302
oct3373147540340
9757136660726
10239874261216
1192803848897
123a5a54a3480
131980a318695
14b877abb972
15638ddc0296
hex37d99ec0e0

239874261216 has 96 divisors (see below), whose sum is σ = 636782902560. Its totient is φ = 79056470016.

The previous prime is 239874261197. The next prime is 239874261227. The reversal of 239874261216 is 612162478932.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2398742612162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9942480 + ... + 9966576.

It is an arithmetic number, because the mean of its divisors is an integer number (6633155235).

Almost surely, 2239874261216 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 239874261216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318391451280).

239874261216 is an abundant number, since it is smaller than the sum of its proper divisors (396908641344).

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

239874261216 is a wasteful number, since it uses less digits than its factorization.

239874261216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25276 (or 25268 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 239874261216 in words is "two hundred thirty-nine billion, eight hundred seventy-four million, two hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1069 1164 1552 2138 2328 3104 3207 4276 4656 6414 8552 9312 12828 17104 24097 25656 34208 48194 51312 72291 96388 102624 103693 144582 192776 207386 289164 311079 385552 414772 578328 622158 771104 829544 1156656 1244316 1659088 2313312 2337409 2488632 3318176 4674818 4977264 7012227 9349636 9954528 14024454 18699272 25759693 28048908 37398544 51519386 56097816 74797088 77279079 103038772 112195632 154558158 206077544 224391264 309116316 412155088 618232632 824310176 1236465264 2472930528 2498690221 4997380442 7496070663 9994760884 14992141326 19989521768 29984282652 39979043536 59968565304 79958087072 119937130608 239874261216