Search a number
-
+
21343751464 = 23717411035309
BaseRepresentation
bin10011111000001011…
…111100110100101000
32001002111000220201111
4103320023330310220
5322203000021324
613445530400104
71353626615440
oct237013746450
961074026644
1021343751464
119062a9a422
124177b90034
132021bc0b49
141066955120
1584dbee794
hex4f82fcd28

21343751464 has 128 divisors (see below), whose sum is σ = 50099212800. Its totient is φ = 8316149760.

The previous prime is 21343751453. The next prime is 21343751563. The reversal of 21343751464 is 46415734312.

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, 4017642 + ... + 4022950.

It is an arithmetic number, because the mean of its divisors is an integer number (391400100).

Almost surely, 221343751464 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 21343751464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25049606400).

21343751464 is an abundant number, since it is smaller than the sum of its proper divisors (28755461336).

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

21343751464 is a wasteful number, since it uses less digits than its factorization.

21343751464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5483 (or 5479 counting only the distinct ones).

The product of its digits is 241920, while the sum is 40.

The spelling of 21343751464 in words is "twenty-one billion, three hundred forty-three million, seven hundred fifty-one thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 17 28 34 41 56 68 82 103 119 136 164 206 238 287 328 412 476 574 697 721 824 952 1148 1394 1442 1751 2296 2788 2884 3502 4223 4879 5309 5576 5768 7004 8446 9758 10618 12257 14008 16892 19516 21236 24514 29561 33784 37163 39032 42472 49028 59122 71791 74326 90253 98056 118244 143582 148652 180506 217669 236488 287164 297304 361012 435338 502537 546827 574328 631771 722024 870676 1005074 1093654 1263542 1523683 1741352 2010148 2187308 2527084 3047366 3700373 3827789 4020296 4374616 5054168 6094732 7400746 7655578 9296059 12189464 14801492 15311156 18592118 22419907 25902611 29602984 30622312 37184236 44839814 51805222 65072413 74368472 89679628 103610444 130144826 156939349 179359256 207220888 260289652 313878698 381138419 520579304 627757396 762276838 1255514792 1524553676 2667968933 3049107352 5335937866 10671875732 21343751464