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215513143204000 = 2553297118134731
BaseRepresentation
bin110001000000001000010000…
…010110000101100010100000
31001021001212002111110002110211
4301000020100112011202200
5211221431404130012000
62042205212102503504
763252211411004635
oct6100102026054240
91037055074402424
10215513143204000
116273a679a16a94
1220207a83734b94
139333a5758a8c5
143b30c6b0c418c
1519daed11247ba
hexc402105858a0

215513143204000 has 96 divisors (see below), whose sum is σ = 529694050197312. Its totient is φ = 86176236960000.

The previous prime is 215513143203983. The next prime is 215513143204061. The reversal of 215513143204000 is 402341315512.

It is a super-2 number, since 2×2155131432040002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2816635 + ... + 20951365.

It is an arithmetic number, because the mean of its divisors is an integer number (5517646356222).

Almost surely, 2215513143204000 is an apocalyptic number.

215513143204000 is a gapful number since it is divisible by the number (20) 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 215513143204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264847025098656).

215513143204000 is an abundant number, since it is smaller than the sum of its proper divisors (314180906993312).

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

215513143204000 is a wasteful number, since it uses less digits than its factorization.

215513143204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18137727 (or 18137709 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 215513143204000 its reverse (402341315512), we get a palindrome (215915484519512).

The spelling of 215513143204000 in words is "two hundred fifteen trillion, five hundred thirteen billion, one hundred forty-three million, two hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2971 4000 5942 11884 14855 23768 29710 47536 59420 74275 95072 118840 148550 237680 297100 371375 475360 594200 742750 1188400 1485500 2376800 2971000 5942000 11884000 18134731 36269462 72538924 90673655 145077848 181347310 290155696 362694620 453368275 580311392 725389240 906736550 1450778480 1813473100 2266841375 2901556960 3626946200 4533682750 7253892400 9067365500 14507784800 18134731000 36269462000 53878285801 72538924000 107756571602 215513143204 269391429005 431026286408 538782858010 862052572816 1077565716020 1346957145025 1724105145632 2155131432040 2693914290050 4310262864080 5387828580100 6734785725125 8620525728160 10775657160200 13469571450250 21551314320400 26939142900500 43102628640800 53878285801000 107756571602000 215513143204000