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20611302444 = 2234316133641
BaseRepresentation
bin10011001100100001…
…111000010000101100
31222012102210122120000
4103030201320100230
5314202443134234
613245123424300
71326524115525
oct231441702054
958172718500
1020611302444
1188175a7657
123bb2825090
131c3622cb65
14dd757184c
1580976c899
hex4cc87842c

20611302444 has 120 divisors (see below), whose sum is σ = 56533631616. Its totient is φ = 6539616000.

The previous prime is 20611302433. The next prime is 20611302463. The reversal of 20611302444 is 44420311602.

It is a happy number.

20611302444 is a `hidden beast` number, since 2 + 0 + 611 + 3 + 0 + 2 + 4 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 595864 + ... + 629504.

Almost surely, 220611302444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20611302444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28266815808).

20611302444 is an abundant number, since it is smaller than the sum of its proper divisors (35922329172).

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

20611302444 is a wasteful number, since it uses less digits than its factorization.

20611302444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33749 (or 33738 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 20611302444 in words is "twenty billion, six hundred eleven million, three hundred two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 61 62 81 93 108 122 124 162 183 186 244 279 324 366 372 549 558 732 837 1098 1116 1647 1674 1891 2196 2511 3294 3348 3782 4941 5022 5673 6588 7564 9882 10044 11346 17019 19764 22692 33641 34038 51057 67282 68076 100923 102114 134564 153171 201846 204228 302769 306342 403692 605538 612684 908307 1042871 1211076 1816614 2052101 2085742 2724921 3128613 3633228 4104202 4171484 5449842 6156303 6257226 8208404 9385839 10899684 12312606 12514452 18468909 18771678 24625212 28157517 36937818 37543356 55406727 56315034 63615131 73875636 84472551 110813454 112630068 127230262 166220181 168945102 190845393 221626908 254460524 332440362 337890204 381690786 572536179 664880724 763381572 1145072358 1717608537 2290144716 3435217074 5152825611 6870434148 10305651222 20611302444