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20920670672 = 2411674873643
BaseRepresentation
bin10011011110111110…
…000001100111010000
31222222222221011222112
4103132332001213100
5320321142430142
613335534324452
71340301523646
oct233676014720
958888834875
1020920670672
11896619a580
12407a359728
131c8535aa95
1410266a3196
158269cc382
hex4def819d0

20920670672 has 80 divisors (see below), whose sum is σ = 44983168512. Its totient is φ = 9345663360.

The previous prime is 20920670591. The next prime is 20920670753. The reversal of 20920670672 is 27607602902.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20920670591) and next prime (20920670753).

It is a super-2 number, since 2×209206706722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5740883 + ... + 5744525.

Almost surely, 220920670672 is an apocalyptic number.

20920670672 is a gapful number since it is divisible by the number (22) 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 20920670672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22491584256).

20920670672 is an abundant number, since it is smaller than the sum of its proper divisors (24062497840).

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

20920670672 is a wasteful number, since it uses less digits than its factorization.

20920670672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The spelling of 20920670672 in words is "twenty billion, nine hundred twenty million, six hundred seventy thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 176 268 487 536 737 974 1072 1474 1948 2948 3643 3896 5357 5896 7286 7792 10714 11792 14572 21428 29144 32629 40073 42856 58288 65258 80146 85712 130516 160292 244081 261032 320584 358919 488162 522064 641168 717838 976324 1435676 1774141 1952648 2684891 2871352 3548282 3905296 5369782 5742704 7096564 10739564 14193128 19515551 21479128 28386256 39031102 42958256 78062204 118867447 156124408 237734894 312248816 475469788 950939576 1307541917 1901879152 2615083834 5230167668 10460335336 20920670672