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149161687640 = 23571771441359
BaseRepresentation
bin1000101011101010111…
…0101011101001011000
3112021000100000211111122
42022322232223221120
54420440343001030
6152305100344412
713530236265620
oct2127256535130
9467010024448
10149161687640
115829397a719
1224aa9b45108
13110b19a3c44
1473102d1880
153d301da8e5
hex22bababa58

149161687640 has 128 divisors (see below), whose sum is σ = 411841843200. Its totient is φ = 47454812160.

The previous prime is 149161687639. The next prime is 149161687643. The reversal of 149161687640 is 46786161941.

It is a super-2 number, since 2×1491616876402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149161687643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117281 + ... + 558639.

It is an arithmetic number, because the mean of its divisors is an integer number (3217514400).

Almost surely, 2149161687640 is an apocalyptic number.

149161687640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149161687640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205920921600).

149161687640 is an abundant number, since it is smaller than the sum of its proper divisors (262680155560).

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

149161687640 is a wasteful number, since it uses less digits than its factorization.

149161687640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441465 (or 441461 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 53.

The spelling of 149161687640 in words is "one hundred forty-nine billion, one hundred sixty-one million, six hundred eighty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 71 85 119 136 140 142 170 238 280 284 340 355 476 497 568 595 680 710 952 994 1190 1207 1420 1988 2380 2414 2485 2840 3976 4760 4828 4970 6035 8449 9656 9940 12070 16898 19880 24140 33796 42245 48280 67592 84490 168980 337960 441359 882718 1765436 2206795 3089513 3530872 4413590 6179026 7503103 8827180 12358052 15006206 15447565 17654360 24716104 30012412 30895130 31336489 37515515 52521721 60024824 61790260 62672978 75031030 105043442 123580520 125345956 150062060 156682445 210086884 219355423 250691912 262608605 300124120 313364890 420173768 438710846 525217210 532720313 626729780 877421692 1050434420 1065440626 1096777115 1253459560 1754843384 2100868840 2130881252 2193554230 2663601565 3729042191 4261762504 4387108460 5327203130 7458084382 8774216920 10654406260 14916168764 18645210955 21308812520 29832337528 37290421910 74580843820 149161687640