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34664780640 = 2535710316899
BaseRepresentation
bin100000010010001011…
…101001001101100000
310022110211220022102110
4200102023221031200
51031443140440030
623531430315320
72335011526260
oct402213511540
9108424808373
1034664780640
1113779401846
1268751b8b40
133365944329
14196bba97a0
15d7d4161b0
hex8122e9360

34664780640 has 96 divisors (see below), whose sum is σ = 124793222400. Its totient is φ = 7923377664.

The previous prime is 34664780621. The next prime is 34664780651. The reversal of 34664780640 is 4608746643.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34664780640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5155090 + ... + 5161809.

It is an arithmetic number, because the mean of its divisors is an integer number (1299929400).

Almost surely, 234664780640 is an apocalyptic number.

34664780640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34664780640 is an abundant number, since it is smaller than the sum of its proper divisors (90128441760).

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

34664780640 is a wasteful number, since it uses less digits than its factorization.

34664780640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10316924 (or 10316916 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 34664780640 in words is "thirty-four billion, six hundred sixty-four million, seven hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 10316899 20633798 30950697 41267596 51584495 61901394 72218293 82535192 103168990 123802788 144436586 154753485 165070384 206337980 216654879 247605576 288873172 309506970 330140768 361091465 412675960 433309758 495211152 577746344 619013940 722182930 825351920 866619516 990422304 1083274395 1155492688 1238027880 1444365860 1650703840 1733239032 2166548790 2310985376 2476055760 2888731720 3466478064 4333097580 4952111520 5777463440 6932956128 8666195160 11554926880 17332390320 34664780640