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203463540416 = 2641123162989
BaseRepresentation
bin1011110101111101011…
…1110011111011000000
3201110011201112202202002
42331133113303323000
511313143131243131
6233245253443132
720462005362323
oct2753727637300
9643151482662
10203463540416
11793199563a4
12335236404a8
1316256a61586
149bc20ac7ba
15545c57d6cb
hex2f5f5f3ec0

203463540416 has 56 divisors (see below), whose sum is σ = 413938029120. Its totient is φ = 99168307200.

The previous prime is 203463540409. The next prime is 203463540439. The reversal of 203463540416 is 614045364302.

203463540416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2034635404162 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 203463540416.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3198650 + ... + 3261638.

It is an arithmetic number, because the mean of its divisors is an integer number (7391750520).

Almost surely, 2203463540416 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 203463540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206969014560).

203463540416 is an abundant number, since it is smaller than the sum of its proper divisors (210474488704).

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

203463540416 is a wasteful number, since it uses less digits than its factorization.

203463540416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64273 (or 64263 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 203463540416 in words is "two hundred three billion, four hundred sixty-three million, five hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1231 1312 2462 2624 4924 9848 19696 39392 50471 62989 78784 100942 125978 201884 251956 403768 503912 807536 1007824 1615072 2015648 2582549 3230144 4031296 5165098 10330196 20660392 41320784 77539459 82641568 155078918 165283136 310157836 620315672 1240631344 2481262688 3179117819 4962525376 6358235638 12716471276 25432942552 50865885104 101731770208 203463540416