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3433798902948 = 22323197241262049
BaseRepresentation
bin110001111101111110010…
…111010010010010100100
3110011021020100102210222020
4301331332113102102210
5422224410004343243
611145244311303140
7503040511043541
oct61757627222244
913137210383866
103433798902948
1111042a1a64117
124755b037aab0
131bba625a52ab
14bc2a7c6bbc8
155e4c3517283
hex31f7e5d24a4

3433798902948 has 96 divisors (see below), whose sum is σ = 8437892601600. Its totient is φ = 1084752936960.

The previous prime is 3433798902907. The next prime is 3433798902977. The reversal of 3433798902948 is 8492098973343.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12972628 + ... + 13234676.

It is an arithmetic number, because the mean of its divisors is an integer number (87894714600).

Almost surely, 23433798902948 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 3433798902948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218946300800).

3433798902948 is an abundant number, since it is smaller than the sum of its proper divisors (5004093698652).

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

3433798902948 is a wasteful number, since it uses less digits than its factorization.

3433798902948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262517 (or 262515 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 69.

The spelling of 3433798902948 in words is "three trillion, four hundred thirty-three billion, seven hundred ninety-eight million, nine hundred two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 197 241 276 394 482 591 723 788 964 1182 1446 2364 2892 4531 5543 9062 11086 13593 16629 18124 22172 27186 33258 47477 54372 66516 94954 142431 189908 262049 284862 524098 569724 786147 1048196 1091971 1572294 2183942 3144588 3275913 4367884 6027127 6551826 12054254 13103652 18081381 24108508 36162762 51623653 63153809 72325524 103247306 126307618 154870959 189461427 206494612 252615236 309741918 378922854 619483836 757845708 1187344019 1452537607 2374688038 2905075214 3562032057 4357612821 4749376076 5810150428 7124064114 8715225642 12441300373 14248128228 17430451284 24882600746 37323901119 49765201492 74647802238 149295604476 286149908579 572299817158 858449725737 1144599634316 1716899451474 3433798902948