Search a number
-
+
51233411116116 = 22324135398331397
BaseRepresentation
bin10111010011000101101010…
…10001010010110001010100
320201101212101111202221010100
423221202311101102301110
523203402011221203431
6300544145410054100
713535330455056015
oct1351426521226124
9221355344687110
1051233411116116
1115362a70a17239
1258b546587a330
13227839ccbb478
14c919d31dd00c
155dca72b754e6
hex2e98b5452c54

51233411116116 has 72 divisors (see below), whose sum is σ = 133041201517224. Its totient is φ = 16614072668160.

The previous prime is 51233411116109. The next prime is 51233411116141. The reversal of 51233411116116 is 61161111433215.

51233411116116 is a `hidden beast` number, since 5 + 1 + 2 + 3 + 34 + 1 + 1 + 1 + 1 + 611 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3134386976400 + 48099024139716 = 1770420^2 + 6935346^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48644671 + ... + 49686726.

It is an arithmetic number, because the mean of its divisors is an integer number (1847794465517).

Almost surely, 251233411116116 is an apocalyptic number.

It is an amenable number.

51233411116116 is an abundant number, since it is smaller than the sum of its proper divisors (81807790401108).

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

51233411116116 is a wasteful number, since it uses less digits than its factorization.

51233411116116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98331801 (or 98331796 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The spelling of 51233411116116 in words is "fifty-one trillion, two hundred thirty-three billion, four hundred eleven million, one hundred sixteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 353 369 492 706 738 1059 1412 1476 2118 3177 4236 6354 12708 14473 28946 43419 57892 86838 130257 173676 260514 521028 98331397 196662794 294994191 393325588 589988382 884982573 1179976764 1769965146 3539930292 4031587277 8063174554 12094761831 16126349108 24189523662 34710983141 36284285493 48379047324 69421966282 72568570986 104132949423 138843932564 145137141972 208265898846 312398848269 416531797692 624797696538 1249595393076 1423150308781 2846300617562 4269450926343 5692601235124 8538901852686 12808352779029 17077803705372 25616705558058 51233411116116