Search a number
-
+
57319063396 = 22763492
BaseRepresentation
bin110101011000011110…
…110111111101100100
312110221122221010002221
4311120132313331210
51414342140012041
642155414242124
74066264000000
oct653036677544
9173848833087
1057319063396
1122344131781
12b138056344
1355361b977a
142aba7c3700
1517571d62d1
hexd587b7f64

57319063396 has 63 divisors (see below), whose sum is σ = 117362558649. Its totient is φ = 24494925168.

The previous prime is 57319063381. The next prime is 57319063433. The reversal of 57319063396 is 69336091375.

The square root of 57319063396 is 239414.

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., 42071752996 + 15247310400 = 205114^2 + 123480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 164237830 + ... + 164238178.

Almost surely, 257319063396 is an apocalyptic number.

57319063396 is the 239414-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57319063396

57319063396 is an abundant number, since it is smaller than the sum of its proper divisors (60043495253).

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

57319063396 is an frugal number, since it uses more digits than its factorization.

57319063396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 52.

The spelling of 57319063396 in words is "fifty-seven billion, three hundred nineteen million, sixty-three thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 196 343 349 686 698 1372 1396 2401 2443 4802 4886 9604 9772 16807 17101 33614 34202 67228 68404 117649 119707 121801 235298 239414 243602 470596 478828 487204 837949 852607 1675898 1705214 3351796 3410428 5865643 5968249 11731286 11936498 23462572 23872996 41059501 41777743 82119002 83555486 164238004 167110972 292444201 584888402 1169776804 2047109407 4094218814 8188437628 14329765849 28659531698 57319063396