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30678682496 = 2771113123761
BaseRepresentation
bin11100100100100101…
…111000101110000000
32221012001100112201212
4130210211320232000
51000312220314441
622032114345252
72134150333010
oct344445705600
987161315655
1030678682496
1112013353260
125b4228b228
132b7bb7c487
1416b0633c40
15be84d9eeb
hex724978b80

30678682496 has 128 divisors (see below), whose sum is σ = 76783576320. Its totient is φ = 11860992000.

The previous prime is 30678682459. The next prime is 30678682499. The reversal of 30678682496 is 69428687603.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30678682499) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1279256 + ... + 1303016.

It is an arithmetic number, because the mean of its divisors is an integer number (599871690).

Almost surely, 230678682496 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 30678682496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38391788160).

30678682496 is an abundant number, since it is smaller than the sum of its proper divisors (46104893824).

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

30678682496 is a wasteful number, since it uses less digits than its factorization.

30678682496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23924 (or 23912 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 59.

The spelling of 30678682496 in words is "thirty billion, six hundred seventy-eight million, six hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 131 154 176 224 262 308 352 448 524 616 704 896 917 1048 1232 1408 1441 1834 2096 2464 2882 3668 4192 4928 5764 7336 8384 9856 10087 11528 14672 16768 20174 23056 23761 29344 40348 46112 47522 58688 80696 92224 95044 117376 161392 166327 184448 190088 261371 322784 332654 380176 522742 645568 665308 760352 1045484 1291136 1330616 1520704 1829597 2090968 2661232 3041408 3112691 3659194 4181936 5322464 6225382 7318388 8363872 10644928 12450764 14636776 16727744 21289856 21788837 24901528 29273552 33455488 34239601 43577674 49803056 58547104 68479202 87155348 99606112 117094208 136958404 174310696 199212224 234188416 239677207 273916808 348621392 398424448 479354414 547833616 697242784 958708828 1095667232 1394485568 1917417656 2191334464 2788971136 3834835312 4382668928 7669670624 15339341248 30678682496