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671442581056 = 2613278792
BaseRepresentation
bin10011100010101010001…
…10001011011001000000
32101012002222200012112211
421301111012023121000
542000103300043211
61232242332431504
766336654525232
oct11612506133100
92335088605484
10671442581056
11239836918115
12aa168918594
134b416c11c00
14246d86d4252
15126ebe34e21
hex9c5518b640

671442581056 has 63 divisors (see below), whose sum is σ = 1442952834561. Its totient is φ = 309857243904.

The previous prime is 671442580981. The next prime is 671442581057. The reversal of 671442581056 is 650185244176.

The square root of 671442581056 is 819416.

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., 99325825600 + 572116755456 = 315160^2 + 756384^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (671442581057) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 85215325 + ... + 85223203.

It is an arithmetic number, because the mean of its divisors is an integer number (22904013247).

Almost surely, 2671442581056 is an apocalyptic number.

671442581056 is the 819416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671442581056

671442581056 is an abundant number, since it is smaller than the sum of its proper divisors (771510253505).

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

671442581056 is an frugal number, since it uses more digits than its factorization.

671442581056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15796 (or 7894 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

Multiplying 671442581056 by its sum of digits (49), we get a square (32900686471744 = 57359122).

The spelling of 671442581056 in words is "six hundred seventy-one billion, four hundred forty-two million, five hundred eighty-one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 7879 10816 15758 31516 63032 102427 126064 204854 252128 409708 504256 819416 1331551 1638832 2663102 3277664 5326204 6555328 10652408 21304816 42609632 62078641 85219264 124157282 248314564 496629128 807022333 993258256 1614044666 1986516512 3228089332 3973033024 6456178664 10491290329 12912357328 20982580658 25824714656 41965161316 51649429312 83930322632 167860645264 335721290528 671442581056