Search a number
-
+
14969237640 = 23357110916069
BaseRepresentation
bin11011111000011110…
…00111000010001000
31102122020021001122220
431330033013002020
5221124111101030
610513214414040
71036644264150
oct157417070210
942566231586
1014969237640
116391820885
122a99201320
131547368086
14a200d7760
155c9289a10
hex37c3c7088

14969237640 has 128 divisors (see below), whose sum is σ = 51372576000. Its totient is φ = 3418242048.

The previous prime is 14969237629. The next prime is 14969237641. The reversal of 14969237640 is 4673296941.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14969237641) 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, 923526 + ... + 939594.

It is an arithmetic number, because the mean of its divisors is an integer number (401348250).

Almost surely, 214969237640 is an apocalyptic number.

14969237640 is a gapful number since it is divisible by the number (10) 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 14969237640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25686288000).

14969237640 is an abundant number, since it is smaller than the sum of its proper divisors (36403338360).

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

14969237640 is a wasteful number, since it uses less digits than its factorization.

14969237640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17199 (or 17195 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 14969237640 in words is "fourteen billion, nine hundred sixty-nine million, two hundred thirty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1109 2218 3327 4436 5545 6654 7763 8872 11090 13308 15526 16069 16635 22180 23289 26616 31052 32138 33270 38815 44360 46578 48207 62104 64276 66540 77630 80345 93156 96414 112483 116445 128552 133080 155260 160690 186312 192828 224966 232890 241035 310520 321380 337449 385656 449932 465780 482070 562415 642760 674898 899864 931560 964140 1124830 1349796 1687245 1928280 2249660 2699592 3374490 4499320 6748980 13497960 17820521 35641042 53461563 71282084 89102605 106923126 124743647 142564168 178205210 213846252 249487294 267307815 356410420 374230941 427692504 498974588 534615630 623718235 712820840 748461882 997949176 1069231260 1247436470 1496923764 1871154705 2138462520 2494872940 2993847528 3742309410 4989745880 7484618820 14969237640