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5132114700 = 22352171952963
BaseRepresentation
bin1001100011110010…
…11101101100001100
3111020122222102212020
410301321131230030
541002310132300
62205131010140
7241115153346
oct46171355414
914218872766
105132114700
1121a3a43809
12bb2899950
1363a337a7b
14369852296
152008518a0
hex131e5db0c

5132114700 has 144 divisors (see below), whose sum is σ = 16550190720. Its totient is φ = 1220244480.

The previous prime is 5132114671. The next prime is 5132114707. The reversal of 5132114700 is 74112315.

It is not an unprimeable number, because it can be changed into a prime (5132114707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70419 + ... + 123381.

It is an arithmetic number, because the mean of its divisors is an integer number (114931880).

Almost surely, 25132114700 is an apocalyptic number.

5132114700 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 5132114700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8275095360).

5132114700 is an abundant number, since it is smaller than the sum of its proper divisors (11418076020).

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

5132114700 is a wasteful number, since it uses less digits than its factorization.

5132114700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53016 (or 53009 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 5132114700 is about 71638.7793028329. The cubic root of 5132114700 is about 1724.9060734407.

The spelling of 5132114700 in words is "five billion, one hundred thirty-two million, one hundred fourteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 25 30 34 38 50 51 57 60 68 75 76 85 95 100 102 114 150 170 190 204 228 255 285 300 323 340 380 425 475 510 570 646 850 950 969 1020 1140 1275 1292 1425 1615 1700 1900 1938 2550 2850 3230 3876 4845 5100 5700 6460 8075 9690 16150 19380 24225 32300 48450 52963 96900 105926 158889 211852 264815 317778 529630 635556 794445 900371 1006297 1059260 1324075 1588890 1800742 2012594 2648150 2701113 3018891 3177780 3601484 3972225 4025188 4501855 5031485 5296300 5402226 6037782 7944450 9003710 10062970 10804452 12075564 13505565 15094455 15888900 17107049 18007420 20125940 22509275 25157425 27011130 30188910 34214098 45018550 50314850 51321147 54022260 60377820 67527825 68428196 75472275 85535245 90037100 100629700 102642294 135055650 150944550 171070490 205284588 256605735 270111300 301889100 342140980 427676225 513211470 855352450 1026422940 1283028675 1710704900 2566057350 5132114700