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126715306020 = 223541711574621
BaseRepresentation
bin111011000000011010…
…0100010000000100100
3110010002000012111120020
41312000310202000210
54034003104243040
6134113500435140
712104060221032
oct1660064420044
9403060174506
10126715306020
1149815539a06
1220684848ab0
13bc45521224
1461c1155552
1534697d5cd0
hex1d80d22024

126715306020 has 192 divisors, whose sum is σ = 371003576832. Its totient is φ = 32288256000.

The previous prime is 126715305991. The next prime is 126715306049. The reversal of 126715306020 is 20603517621.

It is an interprime number because it is at equal distance from previous prime (126715305991) and next prime (126715306049).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27419310 + ... + 27423930.

It is an arithmetic number, because the mean of its divisors is an integer number (1932310296).

Almost surely, 2126715306020 is an apocalyptic number.

126715306020 is a gapful number since it is divisible by the number (10) 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 126715306020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185501788416).

126715306020 is an abundant number, since it is smaller than the sum of its proper divisors (244288270812).

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

126715306020 is a wasteful number, since it uses less digits than its factorization.

126715306020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4902 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

It can be divided in two parts, 12671 and 5306020, that added together give a triangular number (5318691 = T3261).

The spelling of 126715306020 in words is "one hundred twenty-six billion, seven hundred fifteen million, three hundred six thousand, twenty".