Search a number
-
+
16145442888 = 23319435031637
BaseRepresentation
bin11110000100101011…
…11110100001001000
31112200012111110221020
433002111332201020
5231031213133023
611230032512440
71111046000031
oct170225764110
945605443836
1016145442888
116935755233
1231670ab720
1316a3c4ab03
14ad23d1a88
15647674de3
hex3c257e848

16145442888 has 128 divisors (see below), whose sum is σ = 43589145600. Its totient is φ = 4967053056.

The previous prime is 16145442883. The next prime is 16145442893. The reversal of 16145442888 is 88824454161.

It is an interprime number because it is at equal distance from previous prime (16145442883) and next prime (16145442893).

It is a super-4 number, since 4×161454428884 (a number of 42 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 16145442888.

It is not an unprimeable number, because it can be changed into a prime (16145442881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9862006 + ... + 9863642.

It is an arithmetic number, because the mean of its divisors is an integer number (340540200).

Almost surely, 216145442888 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 16145442888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21794572800).

16145442888 is an abundant number, since it is smaller than the sum of its proper divisors (27443702712).

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

16145442888 is a wasteful number, since it uses less digits than its factorization.

16145442888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2207 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 51.

The spelling of 16145442888 in words is "sixteen billion, one hundred forty-five million, four hundred forty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 129 152 172 228 258 344 456 503 516 817 1006 1032 1509 1634 1637 2012 2451 3018 3268 3274 4024 4902 4911 6036 6536 6548 9557 9804 9822 12072 13096 19114 19608 19644 21629 28671 31103 38228 39288 43258 57342 62206 64887 70391 76456 86516 93309 114684 124412 129774 140782 173032 186618 211173 229368 248824 259548 281564 373236 410951 422346 519096 563128 746472 821902 823411 844692 1232853 1337429 1643804 1646822 1689384 2465706 2470233 2674858 3287608 3293644 4012287 4931412 4940466 5349716 6587288 8024574 9862824 9880932 10699432 15644809 16049148 19761864 31289618 32098296 35406673 46934427 62579236 70813346 93868854 106220019 125158472 141626692 187737708 212440038 283253384 375475416 424880076 672726787 849760152 1345453574 2018180361 2690907148 4036360722 5381814296 8072721444 16145442888