Search a number
-
+
30356160520 = 2357218738269
BaseRepresentation
bin11100010001010111…
…100100000000001000
32220100120110201202111
4130101113210000020
5444132134114040
621540113512104
72123153051500
oct342127440010
986316421674
1030356160520
1111968296774
125a72272634
132b2a0c737a
14167d87aa00
15bca02cdea
hex7115e4008

30356160520 has 96 divisors (see below), whose sum is σ = 79504637400. Its totient is φ = 10401011712.

The previous prime is 30356160487. The next prime is 30356160539. The reversal of 30356160520 is 2506165303.

It can be written as a sum of positive squares in 4 ways, for example, as 22721944644 + 7634215876 = 150738^2 + 87374^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3666946 + ... + 3675214.

Almost surely, 230356160520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30356160520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39752318700).

30356160520 is an abundant number, since it is smaller than the sum of its proper divisors (49148476880).

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

30356160520 is a wasteful number, since it uses less digits than its factorization.

30356160520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10167 (or 10156 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The spelling of 30356160520 in words is "thirty billion, three hundred fifty-six million, one hundred sixty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1873 1960 3746 7492 8269 9365 13111 14984 16538 18730 26222 33076 37460 41345 52444 57883 65555 66152 74920 82690 91777 104888 115766 131110 165380 183554 231532 262220 289415 330760 367108 405181 458885 463064 524440 578830 734216 810362 917770 1157660 1620724 1835540 2025905 2315320 3241448 3671080 4051810 8103620 15487837 16207240 30975674 61951348 77439185 108414859 123902696 154878370 216829718 309756740 433659436 542074295 619513480 758904013 867318872 1084148590 1517808026 2168297180 3035616052 3794520065 4336594360 6071232104 7589040130 15178080260 30356160520