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5045670900 = 2233524739761
BaseRepresentation
bin1001011001011111…
…01101001111110100
3111000122022122021000
410230233231033310
540313142432100
62152402123300
7236015331534
oct45457551764
914018278230
105045670900
11215a171256
12b89950530
1362545c6aa
1435c18d4c4
151e7e78900
hex12cbed3f4

5045670900 has 144 divisors (see below), whose sum is σ = 16566439680. Its totient is φ = 1316851200.

The previous prime is 5045670857. The next prime is 5045670911. The reversal of 5045670900 is 90765405.

5045670900 is a `hidden beast` number, since 5 + 0 + 4 + 567 + 0 + 90 + 0 = 666.

It is a super-2 number, since 2×50456709002 = 50917589662213620000, which contains 22 as substring.

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

It is a congruent number.

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, 107020 + ... + 146780.

It is an arithmetic number, because the mean of its divisors is an integer number (115044720).

Almost surely, 25045670900 is an apocalyptic number.

5045670900 is a gapful number since it is divisible by the number (50) 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 5045670900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8283219840).

5045670900 is an abundant number, since it is smaller than the sum of its proper divisors (11520768780).

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

5045670900 is a wasteful number, since it uses less digits than its factorization.

5045670900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39831 (or 39818 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5045670900 is about 71032.8860458309. The cubic root of 5045670900 is about 1715.1665839030.

The spelling of 5045670900 in words is "five billion, forty-five million, six hundred seventy thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 47 50 54 60 75 90 94 100 108 135 141 150 180 188 225 235 270 282 300 423 450 470 540 564 675 705 846 900 940 1175 1269 1350 1410 1692 2115 2350 2538 2700 2820 3525 4230 4700 5076 6345 7050 8460 10575 12690 14100 21150 25380 31725 39761 42300 63450 79522 119283 126900 159044 198805 238566 357849 397610 477132 596415 715698 795220 994025 1073547 1192830 1431396 1789245 1868767 1988050 2147094 2385660 2982075 3578490 3737534 3976100 4294188 5367735 5606301 5964150 7156980 7475068 8946225 9343835 10735470 11212602 11928300 16818903 17892450 18687670 21470940 22425204 26838675 28031505 33637806 35784900 37375340 46719175 50456709 53677350 56063010 67275612 84094515 93438350 100913418 107354700 112126020 140157525 168189030 186876700 201826836 252283545 280315050 336378060 420472575 504567090 560630100 840945150 1009134180 1261417725 1681890300 2522835450 5045670900