Search a number
-
+
73152051416 = 23174160721613
BaseRepresentation
bin100010000100000110…
…0111011100011011000
320222211002111020112122
41010020030323203120
52144303411121131
653334450200412
75166530114633
oct1041014734330
9228732436478
1073152051416
1129029475a44
1212216583108
136b8a498732
14377d4bcc1a
151d821dbd7b
hex110833b8d8

73152051416 has 64 divisors (see below), whose sum is σ = 149022478080. Its totient is φ = 33527992320.

The previous prime is 73152051407. The next prime is 73152051419. The reversal of 73152051416 is 61415025137.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73152051419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3373826 + ... + 3395438.

It is an arithmetic number, because the mean of its divisors is an integer number (2328476220).

Almost surely, 273152051416 is an apocalyptic number.

It is an amenable number.

73152051416 is an abundant number, since it is smaller than the sum of its proper divisors (75870426664).

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

73152051416 is a wasteful number, since it uses less digits than its factorization.

73152051416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22284 (or 22280 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 73152051416 in words is "seventy-three billion, one hundred fifty-two million, fifty-one thousand, four hundred sixteen".

Divisors: 1 2 4 8 17 34 41 68 82 136 164 328 607 697 1214 1394 2428 2788 4856 5576 10319 20638 21613 24887 41276 43226 49774 82552 86452 99548 172904 199096 367421 423079 734842 846158 886133 1469684 1692316 1772266 2939368 3384632 3544532 7089064 13119091 15064261 26238182 30128522 52476364 60257044 104952728 120514088 223024547 446049094 537882731 892098188 1075765462 1784196376 2151530924 4303061848 9144006427 18288012854 36576025708 73152051416