Search a number
-
+
149762310360 = 233513193497417
BaseRepresentation
bin1000101101111010000…
…1111000000011011000
3112022120012012121222120
42023132201320003120
54423203122412420
6152444434021240
713551151430355
oct2133641700330
9468505177876
10149762310360
1158571a13433
1225037117820
131117925a0c0
147369d9b62c
153d67cccd40
hex22de8780d8

149762310360 has 128 divisors (see below), whose sum is σ = 486355423680. Its totient is φ = 36673486848.

The previous prime is 149762310343. The next prime is 149762310389. The reversal of 149762310360 is 63013267941.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52372 + ... + 549788.

Almost surely, 2149762310360 is an apocalyptic number.

149762310360 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 149762310360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243177711840).

149762310360 is an abundant number, since it is smaller than the sum of its proper divisors (336593113320).

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

149762310360 is a wasteful number, since it uses less digits than its factorization.

149762310360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497637 (or 497633 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 149762310360 in words is "one hundred forty-nine billion, seven hundred sixty-two million, three hundred ten thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 193 195 260 312 386 390 520 579 772 780 965 1158 1544 1560 1930 2316 2509 2895 3860 4632 5018 5790 7527 7720 10036 11580 12545 15054 20072 23160 25090 30108 37635 50180 60216 75270 100360 150540 301080 497417 994834 1492251 1989668 2487085 2984502 3979336 4974170 5969004 6466421 7461255 9948340 11938008 12932842 14922510 19399263 19896680 25865684 29845020 32332105 38798526 51731368 59690040 64664210 77597052 96001481 96996315 129328420 155194104 192002962 193992630 258656840 288004443 384005924 387985260 480007405 576008886 768011848 775970520 960014810 1152017772 1248019253 1440022215 1920029620 2304035544 2496038506 2880044430 3744057759 3840059240 4992077012 5760088860 6240096265 7488115518 9984154024 11520177720 12480192530 14976231036 18720288795 24960385060 29952462072 37440577590 49920770120 74881155180 149762310360