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1143672084336 = 243231657625187
BaseRepresentation
bin10000101001001000001…
…010110001011101110000
311001100000110210111221210
4100221020022301131300
5122214220023144321
62233221245520120
7145425155214405
oct20511012613560
94040013714853
101143672084336
11401035092381
12165799573040
1383b038590b2
143d4d562a2ac
151eb39a37b76
hex10a482b1770

1143672084336 has 80 divisors (see below), whose sum is σ = 3084807631104. Its totient is φ = 364428421632.

The previous prime is 1143672084281. The next prime is 1143672084349. The reversal of 1143672084336 is 6334802763411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1516735 + ... + 2141921.

Almost surely, 21143672084336 is an apocalyptic number.

1143672084336 is a gapful number since it is divisible by the number (16) 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 1143672084336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542403815552).

1143672084336 is an abundant number, since it is smaller than the sum of its proper divisors (1941135546768).

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

1143672084336 is a wasteful number, since it uses less digits than its factorization.

1143672084336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626878 (or 626872 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 1143672084336 in words is "one trillion, one hundred forty-three billion, six hundred seventy-two million, eighty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1657 3314 4971 6628 9942 13256 19884 26512 38111 39768 76222 79536 114333 152444 228666 304888 457332 609776 625187 914664 1250374 1829328 1875561 2500748 3751122 5001496 7502244 10002992 14379301 15004488 28758602 30008976 43137903 57517204 86275806 115034408 172551612 230068816 345103224 690206448 1035934859 2071869718 3107804577 4143739436 6215609154 8287478872 12431218308 16574957744 23826501757 24862436616 47653003514 49724873232 71479505271 95306007028 142959010542 190612014056 285918021084 381224028112 571836042168 1143672084336