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20145452152 = 23723137114167
BaseRepresentation
bin10010110000110000…
…110011010001111000
31220222222020000002111
4102300300303101320
5312224213432102
613131002542104
71312136342440
oct226060632170
956888200074
1020145452152
1185a8645411
123aa2807934
131b908737b7
14d91749120
157cd8eccd7
hex4b0c33478

20145452152 has 64 divisors (see below), whose sum is σ = 45374929920. Its totient is φ = 8198032128.

The previous prime is 20145452143. The next prime is 20145452177. The reversal of 20145452152 is 25125454102.

It is a super-2 number, since 2×201454521522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119373 + ... + 233539.

It is an arithmetic number, because the mean of its divisors is an integer number (708983280).

Almost surely, 220145452152 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 20145452152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22687464960).

20145452152 is an abundant number, since it is smaller than the sum of its proper divisors (25229477768).

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

20145452152 is a wasteful number, since it uses less digits than its factorization.

20145452152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114340 (or 114336 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The spelling of 20145452152 in words is "twenty billion, one hundred forty-five million, four hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 137 161 184 274 322 548 644 959 1096 1288 1918 3151 3836 6302 7672 12604 22057 25208 44114 88228 114167 176456 228334 456668 799169 913336 1598338 2625841 3196676 5251682 6393352 10503364 15640879 18380887 21006728 31281758 36761774 62563516 73523548 109486153 125127032 147047096 218972306 359740217 437944612 719480434 875889224 1438960868 2518181519 2877921736 5036363038 10072726076 20145452152