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71055261400 = 23521949138083
BaseRepresentation
bin100001000101100111…
…0010011111011011000
320210101222000021101011
41002023032103323120
52131010121331100
652350424503304
75063546520334
oct1021316237330
9223358007334
1071055261400
112815292a632
121193031ab34
136914c62996
143620c2a7c4
151cad0aabba
hex108b393ed8

71055261400 has 96 divisors (see below), whose sum is σ = 174257150400. Its totient is φ = 26870659200.

The previous prime is 71055261373. The next prime is 71055261449. The reversal of 71055261400 is 416255017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1846759 + ... + 1884841.

It is an arithmetic number, because the mean of its divisors is an integer number (1815178650).

Almost surely, 271055261400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71055261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87128575200).

71055261400 is an abundant number, since it is smaller than the sum of its proper divisors (103201889000).

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

71055261400 is a wasteful number, since it uses less digits than its factorization.

71055261400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38609 (or 38600 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The spelling of 71055261400 in words is "seventy-one billion, fifty-five million, two hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 491 760 950 982 1900 1964 2455 3800 3928 4910 9329 9820 12275 18658 19640 24550 37316 38083 46645 49100 74632 76166 93290 98200 152332 186580 190415 233225 304664 373160 380830 466450 723577 761660 932900 952075 1447154 1523320 1865800 1904150 2894308 3617885 3808300 5788616 7235770 7616600 14471540 18089425 18698753 28943080 36178850 37397506 72357700 74795012 93493765 144715400 149590024 186987530 355276307 373975060 467468825 710552614 747950120 934937650 1421105228 1776381535 1869875300 2842210456 3552763070 3739750600 7105526140 8881907675 14211052280 17763815350 35527630700 71055261400