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214379675952 = 243133767138587
BaseRepresentation
bin1100011110101000000…
…1100100000100110000
3202111100111011220120020
43013222001210010300
512003022144112302
6242252404243440
721326346115341
oct3075201440460
9674314156506
10214379675952
1182a10813612
123566b3a0580
13172a64a4880
14a539b8c0c8
15589aaa3ebc
hex31ea064130

214379675952 has 160 divisors (see below), whose sum is σ = 621681376512. Its totient is φ = 63221824512.

The previous prime is 214379675933. The next prime is 214379675981. The reversal of 214379675952 is 259576973412.

It is a super-2 number, since 2×2143796759522 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1477603 + ... + 1616189.

Almost surely, 2214379675952 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 214379675952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310840688256).

214379675952 is an abundant number, since it is smaller than the sum of its proper divisors (407301700560).

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

214379675952 is a wasteful number, since it uses less digits than its factorization.

214379675952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138715 (or 138709 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 60.

The spelling of 214379675952 in words is "two hundred fourteen billion, three hundred seventy-nine million, six hundred seventy-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 67 74 78 104 111 134 148 156 201 208 222 268 296 312 402 444 481 536 592 624 804 871 888 962 1072 1443 1608 1742 1776 1924 2479 2613 2886 3216 3484 3848 4958 5226 5772 6968 7437 7696 9916 10452 11544 13936 14874 19832 20904 23088 29748 32227 39664 41808 59496 64454 96681 118992 128908 138587 193362 257816 277174 386724 415761 515632 554348 773448 831522 1108696 1546896 1663044 1801631 2217392 3326088 3603262 5127719 5404893 6652176 7206524 9285329 10255438 10809786 14413048 15383157 18570658 20510876 21619572 27855987 28826096 30766314 37141316 41021752 43239144 55711974 61532628 66660347 74282632 82043504 86478288 111423948 120709277 123065256 133320694 148565264 199981041 222847896 241418554 246130512 266641388 343557173 362127831 399962082 445695792 482837108 533282776 687114346 724255662 799924164 965674216 1030671519 1066565552 1374228692 1448511324 1599848328 1931348432 2061343038 2748457384 2897022648 3199696656 4122686076 4466243249 5496914768 5794045296 8245372152 8932486498 13398729747 16490744304 17864972996 26797459494 35729945992 53594918988 71459891984 107189837976 214379675952