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48114190314 = 232192337165317
BaseRepresentation
bin101100110011110101…
…000100011111101010
311121012011100010001200
4230303311010133222
51242014213042224
634034154025030
73322212604221
oct546365043752
9147164303050
1048114190314
111945022a353
1293a9418176
1346ca1670c8
1424860bbcb8
1513b903b5c9
hexb33d447ea

48114190314 has 96 divisors (see below), whose sum is σ = 117600612480. Its totient is φ = 14140469376.

The previous prime is 48114190307. The next prime is 48114190379. The reversal of 48114190314 is 41309141184.

48114190314 is a `hidden beast` number, since 48 + 114 + 190 + 314 = 666.

It is a super-2 number, since 2×481141903142 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208384 + ... + 373700.

It is an arithmetic number, because the mean of its divisors is an integer number (1225006380).

Almost surely, 248114190314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48114190314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58800306240).

48114190314 is an abundant number, since it is smaller than the sum of its proper divisors (69486422166).

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

48114190314 is a wasteful number, since it uses less digits than its factorization.

48114190314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165404 (or 165401 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 48114190314 in words is "forty-eight billion, one hundred fourteen million, one hundred ninety thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 23 37 38 46 57 69 74 111 114 138 171 207 222 333 342 414 437 666 703 851 874 1311 1406 1702 2109 2553 2622 3933 4218 5106 6327 7659 7866 12654 15318 16169 32338 48507 97014 145521 165317 291042 330634 495951 991902 1487853 2975706 3141023 3802291 6116729 6282046 7604582 9423069 11406873 12233458 18350187 18846138 22813746 28269207 34220619 36700374 55050561 56538414 68441238 72243529 110101122 116217851 140684767 144487058 216730587 232435702 281369534 348653553 422054301 433461174 650191761 697307106 844108602 1045960659 1266162903 1300383522 2091921318 2532325806 2673010573 5346021146 8019031719 16038063438 24057095157 48114190314