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485129739006 = 2321125338310973
BaseRepresentation
bin1110000111100111111…
…11000101101011111110
31201101012112012012000100
413003303333011223332
530422021203122011
61010510541541530
750022652512633
oct7036377055376
91641175165010
10485129739006
111778190aa300
127a030b748a6
1336994458783
14196a233218a
15c9453e9d56
hex70f3fc5afe

485129739006 has 144 divisors (see below), whose sum is σ = 1180337453568. Its totient is φ = 143845553280.

The previous prime is 485129738971. The next prime is 485129739011. The reversal of 485129739006 is 600937921584.

485129739006 is a `hidden beast` number, since 4 + 8 + 512 + 97 + 39 + 0 + 0 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44205736 + ... + 44216708.

It is an arithmetic number, because the mean of its divisors is an integer number (8196787872).

It is a 1-persistent number, because it is pandigital, but 2⋅485129739006 = 970259478012 is not.

Almost surely, 2485129739006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485129739006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590168726784).

485129739006 is an abundant number, since it is smaller than the sum of its proper divisors (695207714562).

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

485129739006 is a wasteful number, since it uses less digits than its factorization.

485129739006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11439 (or 11425 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 485129739006 in words is "four hundred eighty-five billion, one hundred twenty-nine million, seven hundred thirty-nine thousand, six".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 121 159 198 242 318 363 383 477 583 726 766 954 1089 1149 1166 1749 2178 2298 3447 3498 4213 5247 6413 6894 8426 10494 10973 12639 12826 19239 20299 21946 25278 32919 37917 38478 40598 46343 57717 60897 65838 75834 92686 98757 115434 120703 121794 139029 182691 197514 223289 241406 278058 362109 365382 417087 446578 581569 669867 724218 834174 1086327 1163138 1327733 1339734 1744707 2009601 2172654 2456179 2655466 3489414 3983199 4019202 4202659 4912358 5234121 6397259 7368537 7966398 8405318 10468242 11949597 12607977 12794518 14737074 19191777 22105611 23899194 25215954 37823931 38383554 44211222 46229249 57575331 70369849 75647862 92458498 115150662 138687747 140739698 211109547 222740927 277375494 416063241 422219094 445481854 508521739 633328641 668222781 832126482 1017043478 1266657282 1336445562 1525565217 2004668343 2450150197 3051130434 4009336686 4576695651 4900300394 7350450591 9153391302 14700901182 22051351773 26951652167 44102703546 53903304334 80854956501 161709913002 242564869503 485129739006