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20287935648 = 253379297233
BaseRepresentation
bin10010111001010000…
…010101010010100000
31221100220022220201000
4102321100111102200
5313022202420043
613153052512000
71315516415301
oct227120252240
957326286630
1020287935648
118671013372
123b2247b600
131bb4240366
14da66387a8
157db1952d3
hex4b94154a0

20287935648 has 96 divisors (see below), whose sum is σ = 59922374400. Its totient is φ = 6677019648.

The previous prime is 20287935607. The next prime is 20287935697. The reversal of 20287935648 is 84653978202.

20287935648 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 79 + 3 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20287935594 and 20287935603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80361 + ... + 216872.

It is an arithmetic number, because the mean of its divisors is an integer number (624191400).

Almost surely, 220287935648 is an apocalyptic number.

It is an amenable number.

20287935648 is an abundant number, since it is smaller than the sum of its proper divisors (39634438752).

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

20287935648 is a wasteful number, since it uses less digits than its factorization.

20287935648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297331 (or 297317 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 20287935648 in words is "twenty billion, two hundred eighty-seven million, nine hundred thirty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 96 108 144 158 216 237 288 316 432 474 632 711 864 948 1264 1422 1896 2133 2528 2844 3792 4266 5688 7584 8532 11376 17064 22752 34128 68256 297233 594466 891699 1188932 1783398 2377864 2675097 3566796 4755728 5350194 7133592 8025291 9511456 10700388 14267184 16050582 21400776 23481407 28534368 32101164 42801552 46962814 64202328 70444221 85603104 93925628 128404656 140888442 187851256 211332663 256809312 281776884 375702512 422665326 563553768 633997989 751405024 845330652 1127107536 1267995978 1690661304 2254215072 2535991956 3381322608 5071983912 6762645216 10143967824 20287935648