Search a number
-
+
20146755564 = 22331319755239
BaseRepresentation
bin10010110000110101…
…110001011111101100
31221000001200020001000
4102300311301133230
5312230032134224
613131050520300
71312153411455
oct226065613754
957001606030
1020146755564
1185a9355711
123aa3136090
131b90c0bb50
14d919a812c
157cdaa90c9
hex4b0d717ec

20146755564 has 96 divisors (see below), whose sum is σ = 59210816000. Its totient is φ = 5872730688.

The previous prime is 20146755523. The next prime is 20146755581. The reversal of 20146755564 is 46555764102.

20146755564 is a `hidden beast` number, since 2 + 0 + 14 + 6 + 75 + 5 + 564 = 666.

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 31 ways as a sum of consecutive naturals, for example, 350944 + ... + 404295.

Almost surely, 220146755564 is an apocalyptic number.

It is an amenable number.

20146755564 is an abundant number, since it is smaller than the sum of its proper divisors (39064060436).

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

20146755564 is a wasteful number, since it uses less digits than its factorization.

20146755564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755284 (or 755276 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 20146755564 in words is "twenty billion, one hundred forty-six million, seven hundred fifty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 468 494 513 684 702 741 988 1026 1404 1482 2052 2223 2964 4446 6669 8892 13338 26676 755239 1510478 2265717 3020956 4531434 6797151 9062868 9818107 13594302 14349541 19636214 20391453 27188604 28699082 29454321 39272428 40782906 43048623 57398164 58908642 81565812 86097246 88362963 117817284 129145869 172194492 176725926 186544033 258291738 265088889 353451852 373088066 387437607 516583476 530177778 559632099 746176132 774875214 1060355556 1119264198 1549750428 1678896297 2238528396 3357792594 5036688891 6715585188 10073377782 20146755564