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504772681413 = 371121331215901
BaseRepresentation
bin1110101100001101100…
…10111101111011000101
31210020220110212001022210
413112012302331323011
531232233301301123
61023520034214033
751316510666410
oct7260662757305
91706813761283
10504772681413
11185089023700
12819b3424319
13387a4b78a10
141a607030b77
15d1e4b35e93
hex7586cbdec5

504772681413 has 144 divisors (see below), whose sum is σ = 940872234624. Its totient is φ = 234226080000.

The previous prime is 504772681409. The next prime is 504772681459. The reversal of 504772681413 is 314186277405.

It is not a de Polignac number, because 504772681413 - 22 = 504772681409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504772681463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31736763 + ... + 31752663.

Almost surely, 2504772681413 is an apocalyptic number.

It is an amenable number.

504772681413 is a deficient number, since it is larger than the sum of its proper divisors (436099553211).

504772681413 is a wasteful number, since it uses less digits than its factorization.

504772681413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16008 (or 15966 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 504772681413 in words is "five hundred four billion, seven hundred seventy-two million, six hundred eighty-one thousand, four hundred thirteen".

Divisors: 1 3 7 11 13 21 31 33 39 77 91 93 121 143 217 231 273 341 363 403 429 651 847 961 1001 1023 1209 1573 2387 2541 2821 2883 3003 3751 4433 4719 6727 7161 8463 10571 11011 11253 12493 13299 15901 20181 26257 31031 31713 33033 37479 47703 48763 73997 78771 87451 93093 111307 116281 137423 146289 174911 206713 221991 262353 333921 341341 348843 412269 492931 524733 620139 813967 961961 1024023 1224377 1446991 1478793 1511653 1924021 2273843 2441901 2885883 3450517 3673131 4340973 4534959 5422241 5772063 6408103 6821529 10351551 10581571 13468147 15280861 15916901 16266723 19224309 25012273 31744713 37955687 40404441 44856721 45842583 47750703 59644651 70489133 75036819 106966027 113867061 134570163 168089471 175085911 178933953 198651193 211467399 320898081 417512557 493423931 504268413 525257733 595953579 775380463 1176626297 1252537671 1390558351 1480271793 1848984181 2185163123 2326141389 3529878891 4171675053 5427663241 5546952543 6555489369 12942889267 15296141861 16282989723 24036794353 38828667801 45888425583 72110383059 168257560471 504772681413