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201016651360 = 25572136118839
BaseRepresentation
bin1011101100110110000…
…1101010111001100000
3201012212012021220222111
42323031201222321200
511243140230320420
6232202404245104
720344244226100
oct2731541527140
9635765256874
10201016651360
1178283728438
1232b600a0794
1315c56b39525
149a2d125200
15536784445a
hex2ecd86ae60

201016651360 has 144 divisors (see below), whose sum is σ = 552872083680. Its totient is φ = 68865699840.

The previous prime is 201016651291. The next prime is 201016651373. The reversal of 201016651360 is 63156610102.

201016651360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10660821 + ... + 10679659.

It is an arithmetic number, because the mean of its divisors is an integer number (3839389470).

Almost surely, 2201016651360 is an apocalyptic number.

201016651360 is a gapful number since it is divisible by the number (20) 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 201016651360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276436041840).

201016651360 is an abundant number, since it is smaller than the sum of its proper divisors (351855432320).

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

201016651360 is a wasteful number, since it uses less digits than its factorization.

201016651360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20229 (or 20214 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 201016651360 in words is "two hundred one billion, sixteen million, six hundred fifty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1361 1568 1960 2722 3920 5444 6805 7840 9527 10888 13610 18839 19054 21776 27220 37678 38108 43552 47635 54440 66689 75356 76216 94195 95270 108880 131873 133378 150712 152432 188390 190540 217760 263746 266756 301424 304864 333445 376780 381080 527492 533512 602848 659365 666890 753560 762160 923111 1054984 1067024 1318730 1333780 1507120 1524320 1846222 2109968 2134048 2637460 2667560 3014240 3692444 4219936 4615555 5274920 5335120 7384888 9231110 10549840 10670240 14769776 18462220 21099680 25639879 29539552 36924440 51279758 73848880 102559516 128199395 147697760 179479153 205119032 256398790 358958306 410238064 512797580 717916612 820476128 897395765 1025595160 1256354071 1435833224 1794791530 2051190320 2512708142 2871666448 3589583060 4102380640 5025416284 5743332896 6281770355 7179166120 10050832568 12563540710 14358332240 20101665136 25127081420 28716664480 40203330272 50254162840 100508325680 201016651360