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20154352640 = 210510193863
BaseRepresentation
bin10010110001010010…
…110000010000000000
31221000120222012021012
4102301102300100000
5312234003241030
613131521420052
71312305112412
oct226122602000
957016865235
1020154352640
118602674494
123aa579a628
131b9266ba66
14d929c49b2
157ce5aa095
hex4b14b0400

20154352640 has 88 divisors (see below), whose sum is σ = 48406800960. Its totient is φ = 8051744768.

The previous prime is 20154352637. The next prime is 20154352651. The reversal of 20154352640 is 4625345102.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 20154352597 and 20154352606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5215349 + ... + 5219211.

Almost surely, 220154352640 is an apocalyptic number.

20154352640 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 20154352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24203400480).

20154352640 is an abundant number, since it is smaller than the sum of its proper divisors (28252448320).

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

20154352640 is a wasteful number, since it uses less digits than its factorization.

20154352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4907 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 20154352640 its reverse (4625345102), we get a palindrome (24779697742).

The spelling of 20154352640 in words is "twenty billion, one hundred fifty-four million, three hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1019 1024 1280 2038 2560 3863 4076 5095 5120 7726 8152 10190 15452 16304 19315 20380 30904 32608 38630 40760 61808 65216 77260 81520 123616 130432 154520 163040 247232 260864 309040 326080 494464 521728 618080 652160 988928 1043456 1236160 1304320 1977856 2472320 2608640 3936397 3955712 4944640 5217280 7872794 9889280 15745588 19681985 19778560 31491176 39363970 62982352 78727940 125964704 157455880 251929408 314911760 503858816 629823520 1007717632 1259647040 2015435264 2519294080 4030870528 5038588160 10077176320 20154352640