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75023969364 = 22343149914969
BaseRepresentation
bin100010111011111000…
…1101110110001010100
321011122112211112020000
41011313301232301110
52212122114004424
654244320011300
75264110134441
oct1056761566124
9234575745200
1075023969364
11298aa090673
1212659460b30
1370c82492a6
1438b9d569c8
151e416ee3c9
hex1177c6ec54

75023969364 has 120 divisors (see below), whose sum is σ = 202873440000. Its totient is φ = 24151167360.

The previous prime is 75023969303. The next prime is 75023969369. The reversal of 75023969364 is 46396932057.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 75023969364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75023969369) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5004472 + ... + 5019440.

It is an arithmetic number, because the mean of its divisors is an integer number (1690612000).

Almost surely, 275023969364 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 75023969364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101436720000).

75023969364 is an abundant number, since it is smaller than the sum of its proper divisors (127849470636).

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

75023969364 is a wasteful number, since it uses less digits than its factorization.

75023969364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15515 (or 15504 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 75023969364 in words is "seventy-five billion, twenty-three million, nine hundred sixty-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 499 558 837 998 1116 1497 1674 1996 2511 2994 3348 4491 5022 5988 8982 10044 13473 14969 15469 17964 26946 29938 30938 40419 44907 46407 53892 59876 61876 80838 89814 92814 134721 139221 161676 179628 185628 269442 278442 404163 417663 464039 538884 556884 808326 835326 928078 1212489 1252989 1392117 1616652 1670652 1856156 2424978 2505978 2784234 4176351 4849956 5011956 5568468 7469531 8352702 12529053 14939062 16705404 22408593 25058106 29878124 37587159 44817186 50116212 67225779 75174318 89634372 134451558 150348636 201677337 231555461 268903116 403354674 463110922 605032011 694666383 806709348 926221844 1210064022 1389332766 2083999149 2420128044 2778665532 4167998298 6251997447 8335996596 12503994894 18755992341 25007989788 37511984682 75023969364