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85752297984 = 293431298333
BaseRepresentation
bin100111111011100111…
…1000011101000000000
322012100020002002101110
41033313033003220000
52401110042013414
6103221041203320
76124010335443
oct1176717035000
9265306062343
1085752297984
1133404a33761
1214752330540
138117ab4132
144216b0965a
15236d4c8459
hex13f73c3a00

85752297984 has 80 divisors (see below), whose sum is σ = 233762440032. Its totient is φ = 27919331328.

The previous prime is 85752297947. The next prime is 85752297989. The reversal of 85752297984 is 48979225758.

It is not an unprimeable number, because it can be changed into a prime (85752297989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583119 + ... + 715214.

Almost surely, 285752297984 is an apocalyptic number.

It is an amenable number.

85752297984 is an abundant number, since it is smaller than the sum of its proper divisors (148010142048).

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

85752297984 is a wasteful number, since it uses less digits than its factorization.

85752297984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298397 (or 1298381 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 66.

The spelling of 85752297984 in words is "eighty-five billion, seven hundred fifty-two million, two hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1032 1376 1536 2064 2752 4128 5504 8256 11008 16512 22016 33024 66048 1298333 2596666 3894999 5193332 7789998 10386664 15579996 20773328 31159992 41546656 55828319 62319984 83093312 111656638 124639968 166186624 167484957 223313276 249279936 332373248 334969914 446626552 498559872 664746496 669939828 893253104 997119744 1339879656 1786506208 1994239488 2679759312 3573012416 5359518624 7146024832 10719037248 14292049664 21438074496 28584099328 42876148992 85752297984