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41764546516 = 227211314115241
BaseRepresentation
bin100110111001010111…
…000110011111010100
310222210122100210021011
4212321113012133110
51141013210442031
631104131102004
73005651534200
oct467127063724
9128718323234
1041764546516
1116791aa7a50
128116a41904
133c2780b324
142042a95b00
15114688a6b1
hex9b95c67d4

41764546516 has 144 divisors (see below), whose sum is σ = 98083367424. Its totient is φ = 15361920000.

The previous prime is 41764546511. The next prime is 41764546543. The reversal of 41764546516 is 61564546714.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 41764546516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41764546511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2732656 + ... + 2747896.

It is an arithmetic number, because the mean of its divisors is an integer number (681134496).

Almost surely, 241764546516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41764546516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49041683712).

41764546516 is an abundant number, since it is smaller than the sum of its proper divisors (56318820908).

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

41764546516 is a wasteful number, since it uses less digits than its factorization.

41764546516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15342 (or 15333 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 49.

The spelling of 41764546516 in words is "forty-one billion, seven hundred sixty-four million, five hundred forty-six thousand, five hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 31 41 44 49 62 77 82 98 124 154 164 196 217 287 308 341 434 451 539 574 682 868 902 1078 1148 1271 1364 1519 1804 2009 2156 2387 2542 3038 3157 4018 4774 5084 6076 6314 8036 8897 9548 12628 13981 15241 16709 17794 22099 27962 30482 33418 35588 44198 55924 60964 62279 66836 88396 97867 106687 124558 167651 195734 213374 249116 335302 391468 426748 472471 624881 670604 685069 746809 944942 1173557 1249762 1370138 1493618 1889884 2347114 2499524 2740276 2987236 3307297 4374167 4694228 5197181 6614594 6873691 8214899 8748334 10394362 13229188 13747382 16429798 17496668 19371311 20788724 23151079 27494764 30619169 32859596 36380267 38742622 46302158 48115837 61238338 72760534 77485244 92604316 96231674 122476676 135599177 145521068 192463348 213084421 254661869 271198354 336810859 426168842 509323738 542396708 673621718 852337684 949194239 1018647476 1347243436 1491590947 1898388478 2983181894 3796776956 5966363788 10441136629 20882273258 41764546516