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74445188972 = 227112577691223
BaseRepresentation
bin100010101010101000…
…1110110111101101100
321010011012202102210012
41011111101312331230
52204430432021342
654111042432352
75243551444160
oct1052521667554
9233135672705
1074445188972
1129632406370
12125176626b8
13703536cc9b
143863134ca0
151e0a9c3b82
hex1155476f6c

74445188972 has 96 divisors (see below), whose sum is σ = 163403412480. Its totient is φ = 28830597120.

The previous prime is 74445188969. The next prime is 74445189037. The reversal of 74445188972 is 27988154447.

It is a super-2 number, since 2×744451889722 (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 31 ways as a sum of consecutive naturals, for example, 60870353 + ... + 60871575.

It is an arithmetic number, because the mean of its divisors is an integer number (1702118880).

Almost surely, 274445188972 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 74445188972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81701706240).

74445188972 is an abundant number, since it is smaller than the sum of its proper divisors (88958223508).

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

74445188972 is a wasteful number, since it uses less digits than its factorization.

74445188972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2269 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 59.

The spelling of 74445188972 in words is "seventy-four billion, four hundred forty-five million, one hundred eighty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 257 308 514 769 1028 1223 1538 1799 2446 2827 3076 3598 4892 5383 5654 7196 8459 8561 10766 11308 13453 16918 17122 19789 21532 26906 33836 34244 39578 53812 59213 79156 94171 118426 188342 197633 236852 314311 376684 395266 628622 790532 940487 1257244 1383431 1880974 2173963 2200177 2766862 3457421 3761948 4347926 4400354 5533724 6583409 6914842 8695852 8800708 10345357 13166818 13829684 15217741 20690714 24201947 26333636 30435482 41381428 48403894 60870964 72417499 96807788 144834998 241705159 289669996 483410318 966820636 1691936113 2658756749 3383872226 5317513498 6767744452 10635026996 18611297243 37222594486 74445188972