Search a number
-
+
5479087564528 = 24191011153154769
BaseRepresentation
bin100111110111011001100…
…0100010110011011110000
3201101210111000220001020121
41033232303010112123300
51204232132404031103
615353020313420024
71103564616604054
oct117566304263360
921353430801217
105479087564528
1118227390aa736
12745a7340a614
133098a27a8766
1414d29144bc64
15977cc4526bd
hex4fbb31166f0

5479087564528 has 80 divisors (see below), whose sum is σ = 11294953639200. Its totient is φ = 2567415398400.

The previous prime is 5479087564513. The next prime is 5479087564543. The reversal of 5479087564528 is 8254657809745.

It is an interprime number because it is at equal distance from previous prime (5479087564513) and next prime (5479087564543).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35324328 + ... + 35479096.

It is an arithmetic number, because the mean of its divisors is an integer number (141186920490).

Almost surely, 25479087564528 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 5479087564528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647476819600).

5479087564528 is an abundant number, since it is smaller than the sum of its proper divisors (5815866074672).

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

5479087564528 is a wasteful number, since it uses less digits than its factorization.

5479087564528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156050 (or 156044 counting only the distinct ones).

The product of its (nonzero) digits is 677376000, while the sum is 70.

The spelling of 5479087564528 in words is "five trillion, four hundred seventy-nine billion, eighty-seven million, five hundred sixty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 76 101 152 202 304 404 808 1153 1616 1919 2306 3838 4612 7676 9224 15352 18448 21907 30704 43814 87628 116453 154769 175256 232906 309538 350512 465812 619076 931624 1238152 1863248 2212607 2476304 2940611 4425214 5881222 8850428 11762444 15631669 17700856 23524888 31263338 35401712 47049776 62526676 125053352 178448657 250106704 297001711 356897314 594003422 713794628 1188006844 1427589256 2376013688 2855178512 3390524483 4752027376 6781048966 13562097932 18023314357 27124195864 36046628714 54248391728 72093257428 144186514856 288373029712 342442972783 684885945566 1369771891132 2739543782264 5479087564528