Search a number
-
+
2117212376550 = 2352831571083167
BaseRepresentation
bin11110110011110011101…
…100010000110111100110
321111101220011121111222120
4132303303230100313212
5234142022332022200
64300344533010410
7305651332160265
oct36636354206746
97441804544876
102117212376550
117469a5211177
122a23b6183a06
131248630659bb
147468b8b45dc
153a1183909a0
hex1ecf3b10de6

2117212376550 has 96 divisors (see below), whose sum is σ = 5347799718912. Its totient is φ = 554234378880.

The previous prime is 2117212376533. The next prime is 2117212376561. The reversal of 2117212376550 is 556732127112.

It is a happy number.

It is a super-3 number, since 3×21172123765503 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1413067 + ... + 2496233.

It is an arithmetic number, because the mean of its divisors is an integer number (55706247072).

Almost surely, 22117212376550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117212376550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673899859456).

2117212376550 is an abundant number, since it is smaller than the sum of its proper divisors (3230587342362).

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

2117212376550 is a wasteful number, since it uses less digits than its factorization.

2117212376550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083422 (or 1083417 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 2117212376550 in words is "two trillion, one hundred seventeen billion, two hundred twelve million, three hundred seventy-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 83 150 157 166 249 314 415 471 498 785 830 942 1245 1570 2075 2355 2490 3925 4150 4710 6225 7850 11775 12450 13031 23550 26062 39093 65155 78186 130310 195465 325775 390930 651550 977325 1083167 1954650 2166334 3249501 5415835 6499002 10831670 16247505 27079175 32495010 54158350 81237525 89902861 162475050 170057219 179805722 269708583 340114438 449514305 510171657 539417166 850286095 899028610 1020343314 1348542915 1700572190 2247571525 2550858285 2697085830 4251430475 4495143050 5101716570 6742714575 8502860950 12754291425 13485429150 14114749177 25508582850 28229498354 42344247531 70573745885 84688495062 141147491770 211721237655 352868729425 423442475310 705737458850 1058606188275 2117212376550