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20434002072 = 23311235732839
BaseRepresentation
bin10011000001111101…
…100010000010011000
31221202002011212011120
4103001331202002120
5313322101031242
613215351325240
71322242103031
oct230175420230
957662155146
1020434002072
118736509220
123b63380820
131c085929b3
14dbbbbba88
157e8de91ec
hex4c1f62098

20434002072 has 64 divisors (see below), whose sum is σ = 55754438400. Its totient is φ = 6189306240.

The previous prime is 20434002041. The next prime is 20434002073. The reversal of 20434002072 is 27020043402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20434002073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605829 + ... + 638667.

It is an arithmetic number, because the mean of its divisors is an integer number (871163100).

Almost surely, 220434002072 is an apocalyptic number.

20434002072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20434002072 is an abundant number, since it is smaller than the sum of its proper divisors (35320436328).

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

20434002072 is a wasteful number, since it uses less digits than its factorization.

20434002072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35216 (or 35212 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

Adding to 20434002072 its reverse (27020043402), we get a palindrome (47454045474).

The spelling of 20434002072 in words is "twenty billion, four hundred thirty-four million, two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2357 4714 7071 9428 14142 18856 25927 28284 32839 51854 56568 65678 77781 98517 103708 131356 155562 197034 207416 262712 311124 361229 394068 622248 722458 788136 1083687 1444916 2167374 2889832 4334748 8669496 77401523 154803046 232204569 309606092 464409138 619212184 851416753 928818276 1702833506 1857636552 2554250259 3405667012 5108500518 6811334024 10217001036 20434002072