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46061722248 = 23323314615839
BaseRepresentation
bin101010111001011111…
…100001101010001000
311101220010020221011220
4222321133201222020
51223313300102443
633054354322040
73220311115263
oct527137415210
9141803227156
1046061722248
1118597706753
128b15b89320
134460b7c169
14232d685cda
1512e8c62a83
hexab97e1a88

46061722248 has 128 divisors (see below), whose sum is σ = 124327526400. Its totient is φ = 14179334400.

The previous prime is 46061722229. The next prime is 46061722297. The reversal of 46061722248 is 84222716064.

It is a happy number.

46061722248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7885713 + ... + 7891551.

It is an arithmetic number, because the mean of its divisors is an integer number (971308800).

Almost surely, 246061722248 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 46061722248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62163763200).

46061722248 is an abundant number, since it is smaller than the sum of its proper divisors (78265804152).

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

46061722248 is a wasteful number, since it uses less digits than its factorization.

46061722248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6363 (or 6359 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 46061722248 in words is "forty-six billion, sixty-one million, seven hundred twenty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 461 552 713 744 922 1383 1426 1844 2139 2766 2852 3688 4278 5532 5704 5839 8556 10603 11064 11678 14291 17112 17517 21206 23356 28582 31809 35034 42412 42873 46712 57164 63618 70068 84824 85746 114328 127236 134297 140136 171492 181009 254472 268594 328693 342984 362018 402891 537188 543027 657386 724036 805782 986079 1074376 1086054 1314772 1448072 1611564 1972158 2172108 2629544 2691779 3223128 3944316 4163207 4344216 5383558 7888632 8075337 8326414 10767116 12489621 16150674 16652828 21534232 24979242 32301348 33305656 49958484 61910917 64602696 83445149 99916968 123821834 166890298 185732751 247643668 250335447 333780596 371465502 495287336 500670894 667561192 742931004 1001341788 1485862008 1919238427 2002683576 3838476854 5757715281 7676953708 11515430562 15353907416 23030861124 46061722248