Search a number
-
+
72410590471856 = 2471349732548401
BaseRepresentation
bin10000011101101101100111…
…100001011110011010110000
3100111101101101112212200222212
4100131231213201132122300
533442333342130044411
6414000544355151252
721152330635410260
oct2035554741363260
9314341345780885
1072410590471856
112108818264358a
1281557a82a5528
13315339ba075b0
1413c4996c237a0
1585887401468b
hex41db6785e6b0

72410590471856 has 40 divisors (see below), whose sum is σ = 172671408051744. Its totient is φ = 28645947878400.

The previous prime is 72410590471847. The next prime is 72410590471873. The reversal of 72410590471856 is 65817409501427.

It is a happy number.

It is a super-2 number, since 2×724105904718562 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72410590471795 and 72410590471804.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24866272745 + ... + 24866275656.

Almost surely, 272410590471856 is an apocalyptic number.

It is an amenable number.

72410590471856 is an abundant number, since it is smaller than the sum of its proper divisors (100260817579888).

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

72410590471856 is a wasteful number, since it uses less digits than its factorization.

72410590471856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49732548429 (or 49732548423 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 59.

The spelling of 72410590471856 in words is "seventy-two trillion, four hundred ten billion, five hundred ninety million, four hundred seventy-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 49732548401 99465096802 198930193604 348127838807 397860387208 646523129213 696255677614 795720774416 1293046258426 1392511355228 2586092516852 2785022710456 4525661904491 5172185033704 5570045420912 9051323808982 10344370067408 18102647617964 36205295235928 72410590471856