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45367391340 = 223254116193797
BaseRepresentation
bin101010010000000110…
…110111010001101100
311100002201202021020100
4222100012313101230
51220403023010330
632501432351100
73164150315025
oct522006672154
9140081667210
1045367391340
1118270789657
128961545490
13438007627b
1422a5385c4c
1512a7d10060
hexa901b746c

45367391340 has 144 divisors (see below), whose sum is σ = 141095092320. Its totient is φ = 11792501760.

The previous prime is 45367391339. The next prime is 45367391369. The reversal of 45367391340 is 4319376354.

45367391340 is a `hidden beast` number, since 4 + 536 + 73 + 9 + 1 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11946322 + ... + 11950118.

It is an arithmetic number, because the mean of its divisors is an integer number (979827030).

Almost surely, 245367391340 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 45367391340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70547546160).

45367391340 is an abundant number, since it is smaller than the sum of its proper divisors (95727700980).

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

45367391340 is a wasteful number, since it uses less digits than its factorization.

45367391340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 45367391340 in words is "forty-five billion, three hundred sixty-seven million, three hundred ninety-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1619 1845 2460 3238 3690 3797 4857 6476 7380 7594 8095 9714 11391 14571 15188 16190 18985 19428 22782 24285 29142 32380 34173 37970 45564 48570 56955 58284 66379 68346 72855 75940 97140 113910 132758 136692 145710 155677 170865 199137 227820 265516 291420 311354 331895 341730 398274 467031 597411 622708 663790 683460 778385 796548 934062 995685 1194822 1327580 1401093 1556770 1868124 1991370 2335155 2389644 2802186 2987055 3113540 3982740 4670310 5604372 5974110 6147343 7005465 9340620 11948220 12294686 14010930 18442029 24589372 28021860 30736715 36884058 55326087 61473430 73768116 92210145 110652174 122946860 184420290 221304348 252041063 276630435 368840580 504082126 553260870 756123189 1008164252 1106521740 1260205315 1512246378 2268369567 2520410630 3024492756 3780615945 4536739134 5040821260 7561231890 9073478268 11341847835 15122463780 22683695670 45367391340