Search a number
-
+
16148161632 = 2532311536343
BaseRepresentation
bin11110000101000000…
…10110010001100000
31112200101121121100110
433002200112101200
5231032412133012
611230211051320
71111111052301
oct170240262140
945611547313
1016148161632
116937241929
123167ba0b40
1316a4690435
14ad28dc7a8
15647a1073c
hex3c2816460

16148161632 has 96 divisors (see below), whose sum is σ = 44277262848. Its totient is φ = 5143412736.

The previous prime is 16148161619. The next prime is 16148161639. The reversal of 16148161632 is 23616184161.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16148161639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2542653 + ... + 2548995.

It is an arithmetic number, because the mean of its divisors is an integer number (461221488).

Almost surely, 216148161632 is an apocalyptic number.

16148161632 is a gapful number since it is divisible by the number (12) 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 16148161632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22138631424).

16148161632 is an abundant number, since it is smaller than the sum of its proper divisors (28129101216).

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

16148161632 is a wasteful number, since it uses less digits than its factorization.

16148161632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7532 (or 7524 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The spelling of 16148161632 in words is "sixteen billion, one hundred forty-eight million, one hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 1153 2208 2306 3459 4612 6343 6918 9224 12686 13836 18448 19029 25372 26519 27672 36896 38058 50744 53038 55344 76116 79557 101488 106076 110688 145889 152232 159114 202976 212152 291778 304464 318228 424304 437667 583556 608928 636456 848608 875334 1167112 1272912 1750668 2334224 2545824 3501336 4668448 7002672 7313479 14005344 14626958 21940437 29253916 43880874 58507832 87761748 117015664 168210017 175523496 234031328 336420034 351046992 504630051 672840068 702093984 1009260102 1345680136 2018520204 2691360272 4037040408 5382720544 8074080816 16148161632