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200511072864 = 2535171516817
BaseRepresentation
bin1011101010111101100…
…1000010101001100000
3201011112221221212200000
42322233121002221200
511241121313312424
6232040304100000
720325564666234
oct2725731025140
9634487855600
10200511072864
1178044300873
1232a3a904600
1315ba618025b
1499c1d1a5c4
1553382783c9
hex2eaf642a60

200511072864 has 144 divisors (see below), whose sum is σ = 626106066768. Its totient is φ = 62905393152.

The previous prime is 200511072851. The next prime is 200511072889. The reversal of 200511072864 is 468270115002.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 626217 + ... + 890600.

It is an arithmetic number, because the mean of its divisors is an integer number (4347958797).

Almost surely, 2200511072864 is an apocalyptic number.

200511072864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200511072864 is an abundant number, since it is smaller than the sum of its proper divisors (425594993904).

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

200511072864 is a wasteful number, since it uses less digits than its factorization.

200511072864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516859 (or 1516839 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 200511072864 its reverse (468270115002), we get a palindrome (668781187866).

The spelling of 200511072864 in words is "two hundred billion, five hundred eleven million, seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 243 272 288 306 324 408 432 459 486 544 612 648 816 864 918 972 1224 1296 1377 1632 1836 1944 2448 2592 2754 3672 3888 4131 4896 5508 7344 7776 8262 11016 14688 16524 22032 33048 44064 66096 132192 1516817 3033634 4550451 6067268 9100902 12134536 13651353 18201804 24269072 25785889 27302706 36403608 40954059 48538144 51571778 54605412 72807216 77357667 81908118 103143556 109210824 122862177 145614432 154715334 163816236 206287112 218421648 232073001 245724354 309430668 327632472 368586531 412574224 436843296 464146002 491448708 618861336 655264944 696219003 737173062 825148448 928292004 982897416 1237722672 1310529888 1392438006 1474346124 1856584008 1965794832 2088657009 2475445344 2784876012 2948692248 3713168016 3931589664 4177314018 5569752024 5897384496 6265971027 7426336032 8354628036 11139504048 11794768992 12531942054 16709256072 22279008096 25063884108 33418512144 50127768216 66837024288 100255536432 200511072864