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20149049010 = 2357315116089
BaseRepresentation
bin10010110000111110…
…100001011010110010
31221000012222202001110
4102300332201122302
5312231124032020
613131212014150
71312212043056
oct226076413262
957005882043
1020149049010
1185aa681822
123aa3a61356
131b91532a0c
14d92003c66
157cddad8e0
hex4b0fa16b2

20149049010 has 64 divisors (see below), whose sum is σ = 49060650240. Its totient is φ = 5295098880.

The previous prime is 20149049003. The next prime is 20149049017. The reversal of 20149049010 is 1094094102.

It is an interprime number because it is at equal distance from previous prime (20149049003) and next prime (20149049017).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20149049017) by changing a digit.

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, 3306046 + ... + 3312134.

It is an arithmetic number, because the mean of its divisors is an integer number (766572660).

Almost surely, 220149049010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20149049010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24530325120).

20149049010 is an abundant number, since it is smaller than the sum of its proper divisors (28911601230).

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

20149049010 is a wasteful number, since it uses less digits than its factorization.

20149049010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7683.

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 20149049010 in words is "twenty billion, one hundred forty-nine million, forty-nine thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 730 1095 1511 2190 3022 4533 6089 7555 9066 12178 15110 18267 22665 30445 36534 45330 60890 91335 110303 182670 220606 330909 444497 551515 661818 888994 1103030 1333491 1654545 2222485 2666982 3309090 4444970 6667455 9200479 13334910 18400958 27601437 46002395 55202874 92004790 138007185 276014370 671634967 1343269934 2014904901 3358174835 4029809802 6716349670 10074524505 20149049010