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45163481040 = 243456969673
BaseRepresentation
bin101010000011111101…
…000000011111010000
311022120112001112220000
4222003331000133100
51214443322343130
632425310050000
73156123153246
oct520375003720
9138515045800
1045163481040
1118176675847
1289051a9900
134349a501a2
142286266796
151294e82260
hexa83f407d0

45163481040 has 100 divisors (see below), whose sum is σ = 156859483044. Its totient is φ = 12043593216.

The previous prime is 45163480987. The next prime is 45163481081. The reversal of 45163481040 is 4018436154.

45163481040 is a `hidden beast` number, since 4 + 5 + 1 + 634 + 8 + 10 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9496892304 + 35666588736 = 97452^2 + 188856^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 45163480986 and 45163481004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3478357 + ... + 3491316.

Almost surely, 245163481040 is an apocalyptic number.

45163481040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45163481040 is an abundant number, since it is smaller than the sum of its proper divisors (111696002004).

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

45163481040 is a wasteful number, since it uses less digits than its factorization.

45163481040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6969698 (or 6969683 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 45163481040 in words is "forty-five billion, one hundred sixty-three million, four hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 6969673 13939346 20909019 27878692 34848365 41818038 55757384 62727057 69696730 83636076 104545095 111514768 125454114 139393460 167272152 188181171 209090190 250908228 278786920 313635285 334544304 376362342 418180380 501816456 557573840 564543513 627270570 752724684 836360760 940905855 1003632912 1129087026 1254541140 1505449368 1672721520 1881811710 2258174052 2509082280 2822717565 3010898736 3763623420 4516348104 5018164560 5645435130 7527246840 9032696208 11290870260 15054493680 22581740520 45163481040