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30335211264 = 283177929411
BaseRepresentation
bin11100010000000111…
…101001011100000000
32220022010001101210010
4130100013221130000
5444111303230024
621534044504520
72122510020111
oct342007513400
986263041703
1030335211264
1111957488236
125a6724b140
132b25970b67
14167ab86208
15bc8290b29
hex7101e9700

30335211264 has 144 divisors (see below), whose sum is σ = 86570104320. Its totient is φ = 9396142080.

The previous prime is 30335211253. The next prime is 30335211299. The reversal of 30335211264 is 46211253303.

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, 1016719 + ... + 1046129.

It is an arithmetic number, because the mean of its divisors is an integer number (601181280).

Almost surely, 230335211264 is an apocalyptic number.

30335211264 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 30335211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43285052160).

30335211264 is an abundant number, since it is smaller than the sum of its proper divisors (56234893056).

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

30335211264 is a wasteful number, since it uses less digits than its factorization.

30335211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29526 (or 29512 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 30335211264 its reverse (46211253303), we get a palindrome (76546464567).

The spelling of 30335211264 in words is "thirty billion, three hundred thirty-five million, two hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 79 96 102 128 136 158 192 204 237 256 272 316 384 408 474 544 632 768 816 948 1088 1264 1343 1632 1896 2176 2528 2686 3264 3792 4029 4352 5056 5372 6528 7584 8058 10112 10744 13056 15168 16116 20224 21488 29411 30336 32232 42976 58822 60672 64464 85952 88233 117644 128928 171904 176466 235288 257856 343808 352932 470576 499987 515712 705864 941152 999974 1031424 1411728 1499961 1882304 1999948 2323469 2823456 2999922 3764608 3999896 4646938 5646912 5999844 6970407 7529216 7999792 9293876 11293824 11999688 13940814 15999584 18587752 22587648 23999376 27881628 31999168 37175504 39498973 47998752 55763256 63998336 74351008 78997946 95997504 111526512 118496919 127996672 148702016 157995892 191995008 223053024 236993838 297404032 315991784 383990016 446106048 473987676 594808064 631983568 892212096 947975352 1263967136 1784424192 1895950704 2527934272 3791901408 5055868544 7583802816 10111737088 15167605632 30335211264