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316523260816 = 24727122832
BaseRepresentation
bin1001001101100100100…
…00011010101110010000
31010021000001100122102221
410212302100122232100
520141214423321231
6401224143550424
731603512216400
oct4466220325620
91107001318387
10316523260816
11112267146754
1251416bbb414
1323b04122609
14114697a2800
1583780b4d11
hex49b241ab90

316523260816 has 135 divisors (see below), whose sum is σ = 726143612283. Its totient is φ = 133269635520.

The previous prime is 316523260813. The next prime is 316523260819. The reversal of 316523260816 is 618062325613.

The square root of 316523260816 is 562604.

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

It is an interprime number because it is at equal distance from previous prime (316523260813) and next prime (316523260819).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (316523260813) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1118456611 + ... + 1118456893.

Almost surely, 2316523260816 is an apocalyptic number.

316523260816 is the 562604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316523260816

316523260816 is an abundant number, since it is smaller than the sum of its proper divisors (409620351467).

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

316523260816 is an frugal number, since it uses more digits than its factorization.

316523260816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 316523260816 in words is "three hundred sixteen billion, five hundred twenty-three million, two hundred sixty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 71 98 112 142 196 283 284 392 497 566 568 784 994 1132 1136 1981 1988 2264 3479 3962 3976 4528 5041 6958 7924 7952 10082 13867 13916 15848 20093 20164 27734 27832 31696 35287 40186 40328 55468 55664 70574 80089 80372 80656 110936 140651 141148 160178 160744 221872 247009 281302 282296 320356 321488 494018 560623 562604 564592 640712 984557 988036 1121246 1125208 1281424 1426603 1969114 1976072 2242492 2250416 2853206 3924361 3938228 3952144 4484984 5686319 5706412 7848722 7876456 8969968 9986221 11372638 11412824 15697444 15752912 19972442 22745276 22825648 31394888 39804233 39944884 45490552 62789776 69903547 79608466 79889768 90981104 139807094 159216932 159779536 278629631 279614188 318433864 403728649 557259262 559228376 636867728 807457298 1114518524 1118456752 1614914596 2229037048 2826100543 3229829192 4458074096 5652201086 6459658384 11304402172 19782703801 22608804344 39565407602 45217608688 79130815204 158261630408 316523260816