Search a number
-
+
74520259416 = 23333156919559
BaseRepresentation
bin100010101100111000…
…0001110101101011000
321010100110000102002000
41011121300032231120
52210104141300131
654122323441000
75245452516351
oct1053160165530
9233313012060
1074520259416
112967081a959
1212538826160
137047a95675
14386d0b6d28
151e123a1ce6
hex1159c0eb58

74520259416 has 128 divisors (see below), whose sum is σ = 214064640000. Its totient is φ = 23995319040.

The previous prime is 74520259399. The next prime is 74520259421. The reversal of 74520259416 is 61495202547.

74520259416 is a `hidden beast` number, since 7 + 4 + 52 + 0 + 2 + 594 + 1 + 6 = 666.

It is a super-2 number, since 2×745202594162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3800245 + ... + 3819803.

It is an arithmetic number, because the mean of its divisors is an integer number (1672380000).

Almost surely, 274520259416 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 74520259416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107032320000).

74520259416 is an abundant number, since it is smaller than the sum of its proper divisors (139544380584).

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

74520259416 is a wasteful number, since it uses less digits than its factorization.

74520259416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20174 (or 20164 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 74520259416 in words is "seventy-four billion, five hundred twenty million, two hundred fifty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 569 744 837 1116 1138 1674 1707 2232 2276 3348 3414 4552 5121 6696 6828 10242 13656 15363 17639 19559 20484 30726 35278 39118 40968 52917 58677 61452 70556 78236 105834 117354 122904 141112 156472 158751 176031 211668 234708 317502 352062 423336 469416 476253 528093 606329 635004 704124 952506 1056186 1212658 1270008 1408248 1818987 1905012 2112372 2425316 3637974 3810024 4224744 4850632 5456961 7275948 10913922 11129071 14551896 16370883 21827844 22258142 32741766 33387213 43655688 44516284 65483532 66774426 89032568 100161639 130967064 133548852 200323278 267097704 300484917 345001201 400646556 600969834 690002402 801293112 1035003603 1201939668 1380004804 2070007206 2403879336 2760009608 3105010809 4140014412 6210021618 8280028824 9315032427 12420043236 18630064854 24840086472 37260129708 74520259416