Search a number
-
+
21425355171600 = 2435217854462643
BaseRepresentation
bin1001101111100011110101…
…01011110010011100010000
32210212020120211200110210020
410313301322223302130100
510302013111410442400
6113322401114103440
74340634163050012
oct467617253623420
983766524613706
1021425355171600
116910495488aa6
1224a046411ab80
13bc552cb9b213
14540dc80661b2
152724c8e742a0
hex137c7aaf2710

21425355171600 has 60 divisors (see below), whose sum is σ = 68632554403536. Its totient is φ = 5713428045440.

The previous prime is 21425355171593. The next prime is 21425355171607. The reversal of 21425355171600 is 617155352412.

It is an interprime number because it is at equal distance from previous prime (21425355171593) and next prime (21425355171607).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-4 number, since 4×214253551716004 (a number of 54 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (21425355171607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8927230122 + ... + 8927232521.

Almost surely, 221425355171600 is an apocalyptic number.

21425355171600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21425355171600 is an abundant number, since it is smaller than the sum of its proper divisors (47207199231936).

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

21425355171600 is a wasteful number, since it uses less digits than its factorization.

21425355171600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17854462664 (or 17854462653 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 21425355171600 in words is "twenty-one trillion, four hundred twenty-five billion, three hundred fifty-five million, one hundred seventy-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 17854462643 35708925286 53563387929 71417850572 89272313215 107126775858 142835701144 178544626430 214253551716 267816939645 285671402288 357089252860 428507103432 446361566075 535633879290 714178505720 857014206864 892723132150 1071267758580 1339084698225 1428357011440 1785446264300 2142535517160 2678169396450 3570892528600 4285071034320 5356338792900 7141785057200 10712677585800 21425355171600