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45216504036 = 223211211179293
BaseRepresentation
bin101010000111000111…
…010001100011100100
311022201012211101202200
4222013013101203210
51220100411112121
632434442334500
73160335641244
oct520707214344
9138635741680
1045216504036
11181a35a0800
12891aaba430
134357a26542
14228d309b24
151299957a26
hexa871d18e4

45216504036 has 108 divisors (see below), whose sum is σ = 125758545276. Its totient is φ = 13688231040.

The previous prime is 45216504007. The next prime is 45216504041. The reversal of 45216504036 is 63040561254.

45216504036 is a `hidden beast` number, since 4 + 521 + 65 + 0 + 40 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2677441536 + 42539062500 = 51744^2 + 206250^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4861006 + ... + 4870298.

Almost surely, 245216504036 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 45216504036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62879272638).

45216504036 is an abundant number, since it is smaller than the sum of its proper divisors (80542041240).

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

45216504036 is a wasteful number, since it uses less digits than its factorization.

45216504036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10442 (or 10426 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 45216504036 in words is "forty-five billion, two hundred sixteen million, five hundred four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1117 1452 2178 2234 3351 4356 4468 6702 9293 10053 12287 13404 18586 20106 24574 27879 36861 37172 40212 49148 55758 73722 83637 102223 110583 111516 135157 147444 167274 204446 221166 270314 306669 334548 405471 408892 442332 540628 613338 810942 920007 1124453 1216413 1226676 1621884 1840014 2248906 2432826 3373359 3680028 4497812 4865652 6746718 10120077 10380281 13493436 20240154 20760562 31140843 40480308 41521124 62281686 93422529 114183091 124563372 186845058 228366182 342549273 373690116 456732364 685098546 1027647819 1256014001 1370197092 2055295638 2512028002 3768042003 4110591276 5024056004 7536084006 11304126009 15072168012 22608252018 45216504036