Search a number
-
+
164700999276 = 223112322419787
BaseRepresentation
bin1001100101100011110…
…0011100111001101100
3120202010021222122200020
42121120330130321230
510144301423434101
6203355042002140
714620305252312
oct2313074347154
9522107878606
10164700999276
1163938469530
1227b06046350
13126ba18a4b8
147d85dc20b2
15443e531136
hex2658f1ce6c

164700999276 has 144 divisors (see below), whose sum is σ = 440122666368. Its totient is φ = 47536473600.

The previous prime is 164700999269. The next prime is 164700999277. The reversal of 164700999276 is 672999007461.

It is not an unprimeable number, because it can be changed into a prime (164700999277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16823655 + ... + 16833441.

Almost surely, 2164700999276 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 164700999276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220061333184).

164700999276 is an abundant number, since it is smaller than the sum of its proper divisors (275421667092).

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

164700999276 is a wasteful number, since it uses less digits than its factorization.

164700999276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10092 (or 10067 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 60.

The spelling of 164700999276 in words is "one hundred sixty-four billion, seven hundred million, nine hundred ninety-nine thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 241 253 276 482 506 529 723 759 964 1012 1058 1446 1518 1587 2116 2651 2892 3036 3174 5302 5543 5819 6348 7953 9787 10604 11086 11638 15906 16629 17457 19574 22172 23276 29361 31812 33258 34914 39148 58722 60973 66516 69828 107657 117444 121946 127489 182919 215314 225101 243892 254978 322971 365838 382467 430628 450202 509956 645942 675303 731676 764934 900404 1291884 1350606 1402379 1529868 2358667 2476111 2701212 2804758 4207137 4717334 4952222 5177323 5609516 7076001 7428333 8414274 9434668 9904444 10354646 14152002 14856666 15531969 16828548 20709292 25945337 28304004 29713332 31063938 51890674 54249341 56950553 62127876 77836011 103781348 108498682 113901106 155672022 162748023 170851659 216997364 227802212 311344044 325496046 341703318 596742751 650992092 683406636 1193485502 1247734843 1790228253 2386971004 2495469686 3580456506 3743204529 4990939372 7160913012 7486409058 13725083273 14972818116 27450166546 41175249819 54900333092 82350499638 164700999276