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34943652864 = 2103217223037
BaseRepresentation
bin100000100010110011…
…011101010000000000
310100012021122111012100
4200202303131100000
51033031033342424
624015231430400
72344636101651
oct404263352000
9110167574170
1034943652864
111390186565a
126932685400
1333ab655593
141996c3d528
15d97b4edc9
hex822cdd400

34943652864 has 132 divisors (see below), whose sum is σ = 106834755924. Its totient is φ = 10962665472.

The previous prime is 34943652853. The next prime is 34943652883. The reversal of 34943652864 is 46825634943.

It can be written as a sum of positive squares in 2 ways, for example, as 19914854400 + 15028798464 = 141120^2 + 122592^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34943652864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45154 + ... + 268190.

Almost surely, 234943652864 is an apocalyptic number.

34943652864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34943652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53417377962).

34943652864 is an abundant number, since it is smaller than the sum of its proper divisors (71891103060).

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

34943652864 is a wasteful number, since it uses less digits than its factorization.

34943652864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223080 (or 223059 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 34943652864 in words is "thirty-four billion, nine hundred forty-three million, six hundred fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2176 2304 2448 3072 3264 4352 4608 4896 6528 8704 9216 9792 13056 17408 19584 26112 39168 52224 78336 156672 223037 446074 669111 892148 1338222 1784296 2007333 2676444 3568592 3791629 4014666 5352888 7137184 7583258 8029332 10705776 11374887 14274368 15166516 16058664 21411552 22749774 28548736 30333032 32117328 34124661 42823104 45499548 57097472 60666064 64234656 68249322 85646208 90999096 114194944 121332128 128469312 136498644 171292416 181998192 228389888 242664256 256938624 272997288 342584832 363996384 485328512 513877248 545994576 685169664 727992768 970657024 1027754496 1091989152 1455985536 1941314048 2055508992 2183978304 2911971072 3882628096 4367956608 5823942144 8735913216 11647884288 17471826432 34943652864