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71054177444496 = 24342341492
BaseRepresentation
bin10000001001111110010111…
…000000011010001010010000
3100022120201020210110112110000
4100021332113000122022100
533303122423411210441
6411041501040410000
720652331520044221
oct2011762700321220
9308521223415400
1071054177444496
11207049a8874a34
127b76938316900
1330854c33515bc
14137907d343248
158334377282b6
hex409f9701a290

71054177444496 has 75 divisors (see below), whose sum is σ = 205652282304601. Its totient is φ = 23684624662464.

The previous prime is 71054177444491. The next prime is 71054177444513. The reversal of 71054177444496 is 69444477145017.

The square root of 71054177444496 is 8429364.

It is a perfect power (a square), and thus also a powerful number.

71054177444496 is a `hidden beast` number, since 7 + 1 + 0 + 541 + 7 + 7 + 4 + 44 + 49 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13497070954896 + 57557106489600 = 3673836^2 + 7586640^2 .

It is a super-2 number, since 2×710541774444962 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71054177444491) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 303340030 + ... + 303574178.

Almost surely, 271054177444496 is an apocalyptic number.

71054177444496 is the 8429364-th square number.

It is an amenable number.

71054177444496 is an abundant number, since it is smaller than the sum of its proper divisors (134598104860105).

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

71054177444496 is an frugal number, since it uses more digits than its factorization.

71054177444496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468318 (or 234154 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 71054177444496 in words is "seventy-one trillion, fifty-four billion, one hundred seventy-seven million, four hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 234149 468298 702447 936596 1404894 1873192 2107341 2809788 3746384 4214682 5619576 6322023 8429364 11239152 12644046 16858728 18966069 25288092 33717456 37932138 50576184 75864276 101152368 151728552 303457104 54825754201 109651508402 164477262603 219303016804 328954525206 438606033608 493431787809 657909050412 877212067216 986863575618 1315818100824 1480295363427 1973727151236 2631636201648 2960590726854 3947454302472 4440886090281 5921181453708 7894908604944 8881772180562 11842362907416 17763544361124 23684725814832 35527088722248 71054177444496