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20352015144 = 23327326314723
BaseRepresentation
bin10010111101000100…
…110001101100101000
31221112100220111020200
4102331010301230220
5313140103441034
613203302152200
71320225163056
oct227504615450
957470814220
1020352015144
1186a420022a
123b3ba22660
131bc45b8116
14db0d591d6
157e1b01a99
hex4bd131b28

20352015144 has 96 divisors (see below), whose sum is σ = 56091372480. Its totient is φ = 6665179392.

The previous prime is 20352015139. The next prime is 20352015149. The reversal of 20352015144 is 44151025302.

It is an interprime number because it is at equal distance from previous prime (20352015139) and next prime (20352015149).

It is not an unprimeable number, because it can be changed into a prime (20352015149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1374967 + ... + 1389689.

It is an arithmetic number, because the mean of its divisors is an integer number (584285130).

Almost surely, 220352015144 is an apocalyptic number.

20352015144 is a gapful number since it is divisible by the number (24) 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 20352015144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28045686240).

20352015144 is an abundant number, since it is smaller than the sum of its proper divisors (35739357336).

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

20352015144 is a wasteful number, since it uses less digits than its factorization.

20352015144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15071 (or 15064 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 20352015144 in words is "twenty billion, three hundred fifty-two million, fifteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 263 292 438 526 584 657 789 876 1052 1314 1578 1752 2104 2367 2628 3156 4734 5256 6312 9468 14723 18936 19199 29446 38398 44169 57597 58892 76796 88338 115194 117784 132507 153592 172791 176676 230388 265014 345582 353352 460776 530028 691164 1060056 1074779 1382328 2149558 3224337 3872149 4299116 6448674 7744298 8598232 9673011 11616447 12897348 15488596 19346022 23232894 25794696 30977192 34849341 38692044 46465788 69698682 77384088 92931576 139397364 278794728 282666877 565333754 848000631 1130667508 1696001262 2261335016 2544001893 3392002524 5088003786 6784005048 10176007572 20352015144