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201613645320 = 233513988713627
BaseRepresentation
bin1011101111000100011…
…1000001011000001000
3201021101210122100201220
42323301013001120020
511300401043122240
6232341532042040
720365113465213
oct2736107013010
9637353570656
10201613645320
117855a71287a
12330a8003320
1316020721aa9
149a8852877a
15539ee6b5d0
hex2ef11c1608

201613645320 has 128 divisors (see below), whose sum is σ = 609923865600. Its totient is φ = 53312760576.

The previous prime is 201613645319. The next prime is 201613645327. The reversal of 201613645320 is 23546316102.

201613645320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201613645327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14788347 + ... + 14801973.

It is an arithmetic number, because the mean of its divisors is an integer number (4765030200).

Almost surely, 2201613645320 is an apocalyptic number.

201613645320 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 201613645320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304961932800).

201613645320 is an abundant number, since it is smaller than the sum of its proper divisors (408310220280).

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

201613645320 is a wasteful number, since it uses less digits than its factorization.

201613645320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14667 (or 14663 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 201613645320 in words is "two hundred one billion, six hundred thirteen million, six hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 887 1112 1390 1668 1774 2085 2661 2780 3336 3548 4170 4435 5322 5560 7096 8340 8870 10644 13305 13627 16680 17740 21288 26610 27254 35480 40881 53220 54508 68135 81762 106440 109016 123293 136270 163524 204405 246586 272540 327048 369879 408810 493172 545080 616465 739758 817620 986344 1232930 1479516 1635240 1849395 1894153 2465860 2959032 3698790 3788306 4931720 5682459 7397580 7576612 9470765 11364918 12087149 14795160 15153224 18941530 22729836 24174298 28412295 36261447 37883060 45459672 48348596 56824590 60435745 72522894 75766120 96697192 113649180 120871490 145045788 181307235 227298360 241742980 290091576 362614470 483485960 725228940 1450457880 1680113711 3360227422 5040341133 6720454844 8400568555 10080682266 13440909688 16801137110 20161364532 25201705665 33602274220 40322729064 50403411330 67204548440 100806822660 201613645320