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64838137000 = 2353713712507
BaseRepresentation
bin111100011000101001…
…110111010010101000
320012100200101122000111
4330120221313102220
52030242030341000
645441454144104
74453515033250
oct743051672250
9205320348014
1064838137000
112555248aa9a
12106961b2034
136163bc5350
1431d125c960
151a47384cba
hexf18a774a8

64838137000 has 128 divisors (see below), whose sum is σ = 186734096640. Its totient is φ = 20520172800.

The previous prime is 64838136917. The next prime is 64838137043. The reversal of 64838137000 is 73183846.

64838137000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265254 + ... + 447253.

It is an arithmetic number, because the mean of its divisors is an integer number (1458860130).

Almost surely, 264838137000 is an apocalyptic number.

It is an amenable number.

64838137000 is an abundant number, since it is smaller than the sum of its proper divisors (121895959640).

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

64838137000 is a wasteful number, since it uses less digits than its factorization.

64838137000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712548 (or 712534 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 64838137000 in words is "sixty-four billion, eight hundred thirty-eight million, one hundred thirty-seven thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 13000 18200 22750 45500 91000 712507 1425014 2850028 3562535 4987549 5700056 7125070 9262591 9975098 14250140 17812675 18525182 19950196 24937745 28500280 35625350 37050364 39900392 46312955 49875490 64838137 71250700 74100728 89063375 92625910 99750980 124688725 129676274 142501400 178126750 185251820 199501960 231564775 249377450 259352548 324190685 356253500 370503640 463129550 498754900 518705096 623443625 648381370 712507000 926259100 997509800 1157823875 1246887250 1296762740 1620953425 1852518200 2315647750 2493774500 2593525480 3241906850 4631295500 4987549000 6483813700 8104767125 9262591000 12967627400 16209534250 32419068500 64838137000