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76233381700672 = 2671032815879273
BaseRepresentation
bin10001010101010101110111…
…101000101110010001000000
3100222220211200110000002210101
4101111111313220232101000
534443001431203410142
6430045044310212144
722025452156620550
oct2125256750562100
9328824613002711
1076233381700672
112232143962a549
128672659354054
13336ca14237571
1414b7a02d47160
158c301286c0b7
hex455577a2e440

76233381700672 has 112 divisors (see below), whose sum is σ = 175186185437952. Its totient is φ = 32239105597440.

The previous prime is 76233381700621. The next prime is 76233381700747. The reversal of 76233381700672 is 27600718333267.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10026828 + ... + 15906100.

Almost surely, 276233381700672 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 76233381700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87593092718976).

76233381700672 is an abundant number, since it is smaller than the sum of its proper divisors (98952803737280).

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

76233381700672 is a wasteful number, since it uses less digits than its factorization.

76233381700672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5879676 (or 5879666 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 55.

The spelling of 76233381700672 in words is "seventy-six trillion, two hundred thirty-three billion, three hundred eighty-one million, seven hundred thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 206 224 281 412 448 562 721 824 1124 1442 1648 1967 2248 2884 3296 3934 4496 5768 6592 7868 8992 11536 15736 17984 23072 28943 31472 46144 57886 62944 115772 125888 202601 231544 405202 463088 810404 926176 1620808 1852352 3241616 5879273 6483232 11758546 12966464 23517092 41154911 47034184 82309822 94068368 164619644 188136736 329239288 376273472 605565119 658478576 1211130238 1316957152 1652075713 2422260476 2633914304 3304151426 4238955833 4844520952 6608302852 8477911666 9689041904 11564529991 13216605704 16955823332 19378083808 23129059982 26433211408 33911646664 38756167616 46258119964 52866422816 67823293328 92516239928 105732845632 135646586656 170163798439 185032479856 271293173312 340327596878 370064959712 680655193756 740129919424 1191146589073 1361310387512 2382293178146 2722620775024 4764586356292 5445241550048 9529172712584 10890483100096 19058345425168 38116690850336 76233381700672