Search a number
-
+
212071492890 = 232537149427417
BaseRepresentation
bin1100010110000001110…
…0100010110100011010
3202021101121221001122200
43011200130202310122
511433310300233030
6241231352031030
721215220642555
oct3054034426432
9667347831580
10212071492890
1181a36913504
1235126392476
1316cc9225b8a
14a39b3cd69c
1557b3117d60
hex3160722d1a

212071492890 has 96 divisors (see below), whose sum is σ = 570090128400. Its totient is φ = 54654538752.

The previous prime is 212071492889. The next prime is 212071492949. The reversal of 212071492890 is 98294170212.

212071492890 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 71 + 492 + 8 + 90 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 103849574049 + 108221918841 = 322257^2 + 328971^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 282462 + ... + 709878.

Almost surely, 2212071492890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212071492890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285045064200).

212071492890 is an abundant number, since it is smaller than the sum of its proper divisors (358018635510).

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

212071492890 is a wasteful number, since it uses less digits than its factorization.

212071492890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427616 (or 427613 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 212071492890 in words is "two hundred twelve billion, seventy-one million, four hundred ninety-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 149 185 222 298 333 370 447 555 666 745 894 1110 1341 1490 1665 2235 2682 3330 4470 5513 6705 11026 13410 16539 27565 33078 49617 55130 82695 99234 165390 248085 427417 496170 854834 1282251 2137085 2564502 3846753 4274170 6411255 7693506 12822510 15814429 19233765 31628858 38467530 47443287 63685133 79072145 94886574 127370266 142329861 158144290 191055399 237216435 284659722 318425665 382110798 474432870 573166197 636851330 711649305 955276995 1146332394 1423298610 1910553990 2356349921 2865830985 4712699842 5731661970 7069049763 11781749605 14138099526 21207149289 23563499210 35345248815 42414298578 70690497630 106035746445 212071492890