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30437687296 = 214292472
BaseRepresentation
bin11100010110001110…
…100100000000000000
32220120020212201110201
4130112032210000000
5444314021443141
621552145134544
72125163034052
oct342616440000
986506781421
1030437687296
11119aa30aa75
125a9562a454
132b40c70673
14168a61d8d2
15bd2284031
hex7163a4000

30437687296 has 135 divisors (see below), whose sum is σ = 64414908649. Its totient is φ = 14381416448.

The previous prime is 30437687221. The next prime is 30437687303. The reversal of 30437687296 is 69278673403.

The square root of 30437687296 is 174464.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15960784896 + 14476902400 = 126336^2 + 120320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 647610345 + ... + 647610391.

Almost surely, 230437687296 is an apocalyptic number.

30437687296 is the 174464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30437687296

30437687296 is an abundant number, since it is smaller than the sum of its proper divisors (33977221353).

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

30437687296 is an frugal number, since it uses more digits than its factorization.

30437687296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 55.

The spelling of 30437687296 in words is "thirty billion, four hundred thirty-seven million, six hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 47 58 64 94 116 128 188 232 256 376 464 512 752 841 928 1024 1363 1504 1682 1856 2048 2209 2726 3008 3364 3712 4096 4418 5452 6016 6728 7424 8192 8836 10904 12032 13456 14848 16384 17672 21808 24064 26912 29696 35344 39527 43616 48128 53824 59392 64061 70688 79054 87232 96256 107648 118784 128122 141376 158108 174464 192512 215296 237568 256244 282752 316216 348928 385024 430592 475136 512488 565504 632432 697856 770048 861184 1024976 1131008 1264864 1395712 1722368 1857769 2049952 2262016 2529728 2791424 3444736 3715538 4099904 4524032 5059456 5582848 6889472 7431076 8199808 9048064 10118912 11165696 13778944 14862152 16399616 18096128 20237824 22331392 29724304 32799232 36192256 40475648 59448608 65598464 80951296 118897216 131196928 161902592 237794432 262393856 323805184 475588864 524787712 647610368 951177728 1049575424 1902355456 3804710912 7609421824 15218843648 30437687296