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76225121281 = 3719011083713
BaseRepresentation
bin100011011111101011…
…1110000110000000001
321021202021000100220001
41012333113300300001
52222102112340111
655003424520001
75335633561201
oct1067727606001
9237667010801
1076225121281
112a366103901
1212933780001
13725a054b7a
1439916a6401
151eb1db61c1
hex11bf5f0c01

76225121281 has 8 divisors (see below), whose sum is σ = 78326513064. Its totient is φ = 74125900800.

The previous prime is 76225121257. The next prime is 76225121299. The reversal of 76225121281 is 18212152267.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11016391681 + 65208729600 = 104959^2 + 255360^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 76225121281 - 217 = 76224990209 is a prime.

It is a super-2 number, since 2×762251212812 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 76225121281.

It is not an unprimeable number, because it can be changed into a prime (76225121221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471520 + ... + 612193.

It is an arithmetic number, because the mean of its divisors is an integer number (9790814133).

Almost surely, 276225121281 is an apocalyptic number.

It is an amenable number.

76225121281 is a deficient number, since it is larger than the sum of its proper divisors (2101391783).

76225121281 is a wasteful number, since it uses less digits than its factorization.

76225121281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085651.

The product of its digits is 26880, while the sum is 37.

It can be divided in two parts, 76225 and 121281, that added together give a triangular number (197506 = T628).

The spelling of 76225121281 in words is "seventy-six billion, two hundred twenty-five million, one hundred twenty-one thousand, two hundred eighty-one".

Divisors: 1 37 1901 70337 1083713 40097381 2060138413 76225121281