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20416142005662 = 2313220134262333
BaseRepresentation
bin1001010010001100000001…
…11001000101010110011110
32200021202122001001201121010
410221012000321011112132
510133444224323140122
6111231013545320050
74205006013505614
oct451060071052636
980252561051533
1020416142005662
116561489a07187
122358950796026
13b51306c38500
1450820a1996b4
1525610d975e0c
hex129180e4559e

20416142005662 has 24 divisors (see below), whose sum is σ = 44214840085464. Its totient is φ = 6281889847584.

The previous prime is 20416142005591. The next prime is 20416142005739. The reversal of 20416142005662 is 26650024161402.

It is a super-3 number, since 3×204161420056623 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 20416142005662.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10067130153 + ... + 10067132180.

It is an arithmetic number, because the mean of its divisors is an integer number (1842285003561).

Almost surely, 220416142005662 is an apocalyptic number.

20416142005662 is an abundant number, since it is smaller than the sum of its proper divisors (23798698079802).

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

20416142005662 is a wasteful number, since it uses less digits than its factorization.

20416142005662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20134262364 (or 20134262351 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 20416142005662 in words is "twenty trillion, four hundred sixteen billion, one hundred forty-two million, five thousand, six hundred sixty-two".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 20134262333 40268524666 60402786999 120805573998 261745410329 523490820658 785236230987 1570472461974 3402690334277 6805380668554 10208071002831 20416142005662