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74544007014 = 232591132572417
BaseRepresentation
bin100010101101100101…
…0110100011101100110
321010102002200220122200
41011123022310131212
52210131231211024
654124532435330
75246161414341
oct1053312643546
9233362626580
1074544007014
112968316a874
1212544778b46
13704c98b7b9
1438722d9458
151e144e32c9
hex115b2b4766

74544007014 has 96 divisors (see below), whose sum is σ = 166416625440. Its totient is φ = 24106500096.

The previous prime is 74544007003. The next prime is 74544007049. The reversal of 74544007014 is 41070044547.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 74544007014.

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 47 ways as a sum of consecutive naturals, for example, 30840334 + ... + 30842750.

It is an arithmetic number, because the mean of its divisors is an integer number (1733506515).

Almost surely, 274544007014 is an apocalyptic number.

74544007014 is an abundant number, since it is smaller than the sum of its proper divisors (91872618426).

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

74544007014 is a wasteful number, since it uses less digits than its factorization.

74544007014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 74544007014 in words is "seventy-four billion, five hundred forty-four million, seven thousand, fourteen".

Divisors: 1 2 3 6 9 18 59 113 118 177 226 257 339 354 514 531 678 771 1017 1062 1542 2034 2313 2417 4626 4834 6667 7251 13334 14502 15163 20001 21753 29041 30326 40002 43506 45489 58082 60003 87123 90978 120006 136467 142603 174246 261369 272934 273121 285206 427809 522738 546242 621169 819363 855618 1242338 1283427 1638726 1713419 1863507 2458089 2566854 3426838 3727014 4916178 5140257 5590521 10280514 11181042 15420771 16114139 30841542 32228278 36648971 48342417 70192097 73297942 96684834 109946913 140384194 145027251 210576291 219893826 290054502 329840739 421152582 631728873 659681478 1263457746 4141333723 8282667446 12424001169 24848002338 37272003507 74544007014