Search a number
-
+
213957011917044 = 2232111329140651229
BaseRepresentation
bin110000101001011110111111…
…101100010100100011110100
31001001120002110000220010121100
4300221132333230110203310
5211020432430022321134
62035014254440450100
763031612132214304
oct6051367754244364
91031502400803540
10213957011917044
116219a728419a50
121bbb6376479930
1392500a108c346
143ab9808b01604
1519b07a5eb7999
hexc297bfb148f4

213957011917044 has 72 divisors (see below), whose sum is σ = 590047074882720. Its totient is φ = 64830578414400.

The previous prime is 213957011917039. The next prime is 213957011917049. The reversal of 213957011917044 is 440719110759312.

213957011917044 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 570 + 1 + 19 + 17 + 0 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (213957011917039) and next prime (213957011917049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213957011917049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15062379 + ... + 25588850.

It is an arithmetic number, because the mean of its divisors is an integer number (8195098262260).

Almost surely, 2213957011917044 is an apocalyptic number.

It is an amenable number.

213957011917044 is an abundant number, since it is smaller than the sum of its proper divisors (376090062965676).

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

213957011917044 is a wasteful number, since it uses less digits than its factorization.

213957011917044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40664541 (or 40664536 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 213957011917044 in words is "two hundred thirteen trillion, nine hundred fifty-seven billion, eleven million, nine hundred seventeen thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 13291 26582 39873 53164 79746 119619 146201 159492 239238 292402 438603 478476 584804 877206 1315809 1754412 2631618 5263236 40651229 81302458 121953687 162604916 243907374 365861061 447163519 487814748 731722122 894327038 1341490557 1463444244 1788654076 2682981114 4024471671 5365962228 8048943342 16097886684 540295484639 1080590969278 1620886453917 2161181938556 3241772907834 4862659361751 5943250331029 6483545815668 9725318723502 11886500662058 17829750993087 19450637447004 23773001324116 35659501986174 53489252979261 71319003972348 106978505958522 213957011917044