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116454220672 = 2747971971013
BaseRepresentation
bin110110001110100110…
…1100110001110000000
3102010120220011100200011
41230131031212032000
53401444240030142
6125255350034304
711261562354226
oct1543515461600
9363526140604
10116454220672
114542a40a689
121a6a0348994
13ac9b70c7aa
1458ca46cb16
153068a54417
hex1b1d366380

116454220672 has 128 divisors (see below), whose sum is σ = 240830029440. Its totient is φ = 56059035648.

The previous prime is 116454220651. The next prime is 116454220697. The reversal of 116454220672 is 276022454611.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114959238 + ... + 114960250.

It is an arithmetic number, because the mean of its divisors is an integer number (1881484605).

Almost surely, 2116454220672 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 116454220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120415014720).

116454220672 is an abundant number, since it is smaller than the sum of its proper divisors (124375808768).

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

116454220672 is a wasteful number, since it uses less digits than its factorization.

116454220672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 116454220672 in words is "one hundred sixteen billion, four hundred fifty-four million, two hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 47 64 94 97 128 188 194 197 376 388 394 752 776 788 1013 1504 1552 1576 2026 3008 3104 3152 4052 4559 6016 6208 6304 8104 9118 9259 12416 12608 16208 18236 18518 19109 25216 32416 36472 37036 38218 47611 64832 72944 74072 76436 95222 98261 129664 145888 148144 152872 190444 196522 199561 291776 296288 305744 380888 393044 399122 583552 592576 611488 761776 786088 798244 898123 1185152 1222976 1523552 1572176 1596488 1796246 2445952 3047104 3144352 3192976 3592492 4618267 6094208 6288704 6385952 7184984 9236534 9379367 12577408 12771904 14369968 18473068 18758734 19357417 25543808 28739936 36946136 37517468 38714834 57479872 73892272 75034936 77429668 114959744 147784544 150069872 154859336 295569088 300139744 309718672 591138176 600279488 619437344 909798599 1200558976 1238874688 1819597198 2477749376 3639194396 7278388792 14556777584 29113555168 58227110336 116454220672