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71489925376 = 281729832
BaseRepresentation
bin100001010010100100…
…0011011000100000000
320211112020220111020221
41002211020123010000
52132402410103001
652501513112424
75110405224262
oct1024510330400
9224466814227
1071489925376
1128356221061
1211a319b8714
1369840200bc
143662855b32
151cd631a1a1
hex10a521b100

71489925376 has 81 divisors (see below), whose sum is σ = 151742886421. Its totient is φ = 33608093696.

The previous prime is 71489925371. The next prime is 71489925383. The reversal of 71489925376 is 67352998417.

The square root of 71489925376 is 267376.

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., 55658246400 + 15831678976 = 235920^2 + 125824^2 .

It is a super-2 number, since 2×714899253762 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (22861440) is a multiple of the sum of its prime factors (2016).

It is not an unprimeable number, because it can be changed into a prime (71489925371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72725781 + ... + 72726763.

Almost surely, 271489925376 is an apocalyptic number.

71489925376 is the 267376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71489925376

71489925376 is an abundant number, since it is smaller than the sum of its proper divisors (80252961045).

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

71489925376 is an frugal number, since it uses more digits than its factorization.

71489925376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1002 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 61.

The spelling of 71489925376 in words is "seventy-one billion, four hundred eighty-nine million, nine hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 578 983 1088 1156 1966 2176 2312 3932 4352 4624 7864 9248 15728 16711 18496 31456 33422 36992 62912 66844 73984 125824 133688 251648 267376 284087 534752 568174 966289 1069504 1136348 1932578 2139008 2272696 3865156 4278016 4545392 7730312 9090784 15460624 16426913 18181568 30921248 32853826 36363136 61842496 65707652 72726272 123684992 131415304 247369984 262830608 279257521 525661216 558515042 1051322432 1117030084 2102644864 2234060168 4205289728 4468120336 8936240672 17872481344 35744962688 71489925376