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42124980621376 = 268112972
BaseRepresentation
bin10011001001111111111001…
…00000011001000001000000
312112011002221022212020212101
421210333330200121001000
521010133430014341001
6225331540545440144
711605300201231162
oct1144777440310100
9175132838766771
1042124980621376
1112471116401594
12488412a940054
131a674a3b4b423
14a58c0796a932
154d0b7a079a01
hex264ffc819040

42124980621376 has 21 divisors (see below), whose sum is σ = 83591861455389. Its totient is φ = 21062464349184.

The previous prime is 42124980621337. The next prime is 42124980621397. The reversal of 42124980621376 is 67312608942124.

The square root of 42124980621376 is 6490376.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15850908942400 + 26274071678976 = 3981320^2 + 5125824^2 .

It is a Duffinian 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 2 ways as a sum of consecutive naturals, for example, 51517360 + ... + 52328656.

It is an arithmetic number, because the mean of its divisors is an integer number (3980564831209).

Almost surely, 242124980621376 is an apocalyptic number.

42124980621376 is the 6490376-th square number.

It is an amenable number.

42124980621376 is a deficient number, since it is larger than the sum of its proper divisors (41466880834013).

42124980621376 is an frugal number, since it uses more digits than its factorization.

42124980621376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622606 (or 811299 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 42124980621376 in words is "forty-two trillion, one hundred twenty-four billion, nine hundred eighty million, six hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 811297 1622594 3245188 6490376 12980752 25961504 51923008 658202822209 1316405644418 2632811288836 5265622577672 10531245155344 21062490310688 42124980621376