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73225123488 = 25321138959419
BaseRepresentation
bin100010000110010001…
…1101011011010100000
321000000011222200120200
41010030203223122200
52144431112422423
653350020305200
75201405165016
oct1041443533240
9230004880520
1073225123488
1129066745090
1212236b42200
136b9c67164a
1437890a08b6
151d88822d43
hex110c8eb6a0

73225123488 has 144 divisors (see below), whose sum is σ = 227752106400. Its totient is φ = 22132016640.

The previous prime is 73225123469. The next prime is 73225123547. The reversal of 73225123488 is 88432152237.

73225123488 is a `hidden beast` number, since 7 + 3 + 22 + 512 + 34 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×732251234882 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1202643 + ... + 1262061.

It is an arithmetic number, because the mean of its divisors is an integer number (1581611850).

Almost surely, 273225123488 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 73225123488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113876053200).

73225123488 is an abundant number, since it is smaller than the sum of its proper divisors (154526982912).

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

73225123488 is a wasteful number, since it uses less digits than its factorization.

73225123488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59835 (or 59824 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 73225123488 in words is "seventy-three billion, two hundred twenty-five million, one hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 389 396 528 778 792 1056 1167 1556 1584 2334 3112 3168 3501 4279 4668 6224 7002 8558 9336 12448 12837 14004 17116 18672 25674 28008 34232 37344 38511 51348 56016 59419 68464 77022 102696 112032 118838 136928 154044 178257 205392 237676 308088 356514 410784 475352 534771 616176 653609 713028 950704 1069542 1232352 1307218 1426056 1901408 1960827 2139084 2614436 2852112 3921654 4278168 5228872 5704224 5882481 7843308 8556336 10457744 11764962 15686616 17112672 20915488 23113991 23529924 31373232 46227982 47059848 62746464 69341973 92455964 94119696 138683946 184911928 188239392 208025919 254253901 277367892 369823856 416051838 508507802 554735784 739647712 762761703 832103676 1017015604 1109471568 1525523406 1664207352 2034031208 2218943136 2288285109 3051046812 3328414704 4068062416 4576570218 6102093624 6656829408 8136124832 9153140436 12204187248 18306280872 24408374496 36612561744 73225123488