Search a number
-
+
148768746586788 = 223437922316365529
BaseRepresentation
bin100001110100110111101100…
…010010110100001010100100
3201111202011010201221210101110
4201310313230102310022210
5123444411343111234123
61244223230234225020
743223121140341506
oct4164675422641244
9644664121853343
10148768746586788
1143447520067259
1214828468285170
136501aa9312ac3
1428a4635211d76
15122ec3aa7d493
hex874dec4b42a4

148768746586788 has 96 divisors (see below), whose sum is σ = 361309006643200. Its totient is φ = 47608761118464.

The previous prime is 148768746586769. The next prime is 148768746586793. The reversal of 148768746586788 is 887685647867841.

It is a super-3 number, since 3×1487687465867883 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 907608 + ... + 17273136.

Almost surely, 2148768746586788 is an apocalyptic number.

It is an amenable number.

148768746586788 is an abundant number, since it is smaller than the sum of its proper divisors (212540260056412).

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

148768746586788 is a wasteful number, since it uses less digits than its factorization.

148768746586788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16365881 (or 16365879 counting only the distinct ones).

The product of its digits is 194217246720, while the sum is 93.

The spelling of 148768746586788 in words is "one hundred forty-eight trillion, seven hundred sixty-eight billion, seven hundred forty-six million, five hundred eighty-six thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 12 43 79 86 129 158 172 223 237 258 316 446 474 516 669 892 948 1338 2676 3397 6794 9589 10191 13588 17617 19178 20382 28767 35234 38356 40764 52851 57534 70468 105702 115068 211404 757531 1515062 2272593 3030124 4545186 9090372 16365529 32731058 49096587 65462116 98193174 196386348 703717747 1292876791 1407435494 2111153241 2585753582 2814870988 3649512967 3878630373 4222306482 5171507164 7299025934 7757260746 8444612964 10948538901 14598051868 15514521492 21897077802 43794155604 55593702013 111187404026 156929057581 166781106039 222374808052 288311524393 313858115162 333562212078 470787172743 576623048786 627716230324 667124424156 864934573179 941574345486 1153246097572 1729869146358 1883148690972 3459738292716 12397395548899 24794791097798 37192186646697 49589582195596 74384373293394 148768746586788