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1672051116 = 22317379359
BaseRepresentation
bin110001110101001…
…0111100110101100
311022112020222221010
41203222113212230
511411021113431
6433525505220
756302125411
oct14352274654
94275228833
101672051116
1178891382a
123a7b72210
13208542078
1411c0cc108
159bbd2846
hex63a979ac

1672051116 has 96 divisors (see below), whose sum is σ = 4209408000. Its totient is φ = 516482304.

The previous prime is 1672051111. The next prime is 1672051141. The reversal of 1672051116 is 6111502761.

It is not an unprimeable number, because it can be changed into a prime (1672051111) 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, 4657345 + ... + 4657703.

It is an arithmetic number, because the mean of its divisors is an integer number (43848000).

Almost surely, 21672051116 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 1672051116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104704000).

1672051116 is an abundant number, since it is smaller than the sum of its proper divisors (2537356884).

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

1672051116 is a wasteful number, since it uses less digits than its factorization.

1672051116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 1672051116 is about 40890.7216370658. The cubic root of 1672051116 is about 1186.9065231114.

Adding to 1672051116 its reverse (6111502761), we get a palindrome (7783553877).

The spelling of 1672051116 in words is "one billion, six hundred seventy-two million, fifty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 68 79 102 158 204 237 289 316 359 474 578 718 867 948 1077 1156 1343 1436 1734 2154 2686 3468 4029 4308 4913 5372 6103 8058 9826 12206 14739 16116 18309 19652 22831 24412 28361 29478 36618 45662 56722 58956 68493 73236 85083 91324 103751 113444 136986 170166 207502 273972 311253 340332 388127 415004 482137 622506 776254 964274 1164381 1245012 1446411 1552508 1763767 1928548 2328762 2892822 3527534 4657524 5291301 5785644 7055068 8196329 10582602 16392658 21165204 24588987 32785316 49177974 98355948 139337593 278675186 418012779 557350372 836025558 1672051116