Search a number
-
+
136150932953574 = 232711711383563329
BaseRepresentation
bin11110111101010000011011…
…111111101001100111100110
3122212001220100121112022020200
4132331100123333221213212
5120321144102314003244
61201322513010011330
740451403020152320
oct3675203377514746
9585056317468220
10136150932953574
113a422317228640
121332ab67b76b46
135ac7c93558266
142589a515d6610
1510b18e8e9b669
hex7bd41bfe99e6

136150932953574 has 96 divisors (see below), whose sum is σ = 372964399741440. Its totient is φ = 34865795865600.

The previous prime is 136150932953569. The next prime is 136150932953579. The reversal of 136150932953574 is 475359239051631.

136150932953574 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 5 + 0 + 9 + 3 + 2 + 9 + 53 + 574 = 666.

It is an interprime number because it is at equal distance from previous prime (136150932953569) and next prime (136150932953579).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136150932953579) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691683259 + ... + 691880070.

It is an arithmetic number, because the mean of its divisors is an integer number (3885045830640).

Almost surely, 2136150932953574 is an apocalyptic number.

136150932953574 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

136150932953574 is an abundant number, since it is smaller than the sum of its proper divisors (236813466787866).

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

136150932953574 is a wasteful number, since it uses less digits than its factorization.

136150932953574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383563426 (or 1383563423 counting only the distinct ones).

The product of its (nonzero) digits is 91854000, while the sum is 63.

The spelling of 136150932953574 in words is "one hundred thirty-six trillion, one hundred fifty billion, nine hundred thirty-two million, nine hundred fifty-three thousand, five hundred seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 71 77 99 126 142 154 198 213 231 426 462 497 639 693 781 994 1278 1386 1491 1562 2343 2982 4473 4686 5467 7029 8946 10934 14058 16401 32802 49203 98406 1383563329 2767126658 4150689987 8301379974 9684943303 12452069961 15219196619 19369886606 24904139922 29054829909 30438393238 45657589857 58109659818 87164489727 91315179714 98232996359 106534376333 136972769571 174328979454 196465992718 213068752666 273945539142 294698989077 319603128999 589397978154 639206257998 687630974513 884096967231 958809386997 1080562959949 1375261949026 1768193934462 1917618773994 2062892923539 2161125919898 3241688879847 4125785847078 6188678770617 6483377759694 7563940719643 9725066639541 12377357541234 15127881439286 19450133279082 22691822158929 45383644317858 68075466476787 136150932953574