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20670649440 = 253577877817
BaseRepresentation
bin10011010000000100…
…010001010001100000
31222100120110210022220
4103100010101101200
5314313141240230
613255043431040
71331144423040
oct232004212140
958316423286
1020670649440
118848051961
12400a685480
131c4560b81c
1410013bd720
1580ea91d10
hex4d0111460

20670649440 has 192 divisors, whose sum is σ = 74518424064. Its totient is φ = 4718112768.

The previous prime is 20670649399. The next prime is 20670649477. The reversal of 20670649440 is 4494607602.

It is a super-4 number, since 4×206706494404 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20670649392 and 20670649401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2640412 + ... + 2648228.

It is an arithmetic number, because the mean of its divisors is an integer number (388116792).

Almost surely, 220670649440 is an apocalyptic number.

20670649440 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 20670649440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37259212032).

20670649440 is an abundant number, since it is smaller than the sum of its proper divisors (53847774624).

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

20670649440 is a wasteful number, since it uses less digits than its factorization.

20670649440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8629 (or 8621 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 20670649440 in words is "twenty billion, six hundred seventy million, six hundred forty-nine thousand, four hundred forty".