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74012945748 = 22378916995827
BaseRepresentation
bin100010011101110000…
…0111110110101010100
321002001002102012112220
41010323200332311110
52203034303230443
654000122142340
75230052441640
oct1047340766524
9232032365486
1074012945748
1129430418665
12124169519b0
136c9694c671
143821979c20
151dd2a91a83
hex113b83ed54

74012945748 has 96 divisors (see below), whose sum is σ = 199737216000. Its totient is φ = 20893061376.

The previous prime is 74012945717. The next prime is 74012945801. The reversal of 74012945748 is 84754921047.

It is a super-2 number, since 2×740129457482 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 74012945748.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12698811 + ... + 12704637.

It is an arithmetic number, because the mean of its divisors is an integer number (2080596000).

Almost surely, 274012945748 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 74012945748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99868608000).

74012945748 is an abundant number, since it is smaller than the sum of its proper divisors (125724270252).

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

74012945748 is a wasteful number, since it uses less digits than its factorization.

74012945748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7629 (or 7627 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 74012945748 in words is "seventy-four billion, twelve million, nine hundred forty-five thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1246 1699 1869 2492 3398 3738 5097 5827 6796 7476 10194 11654 11893 17481 20388 23308 23786 34962 35679 40789 47572 69924 71358 81578 122367 142716 151211 163156 244734 302422 453633 489468 518603 604844 907266 1037206 1058477 1555809 1814532 2074412 2116954 3111618 3175431 3630221 4233908 6223236 6350862 7260442 9900073 10890663 12701724 14520884 19800146 21781326 29700219 39600292 43562652 59400438 69300511 118800876 138601022 207901533 277202044 415803066 831606132 881106497 1762212994 2643319491 3524425988 5286638982 6167745479 10573277964 12335490958 18503236437 24670981916 37006472874 74012945748