Search a number
-
+
742367541644 = 2219375311634283
BaseRepresentation
bin10101100110110001000…
…11011011100110001100
32121222011212111111210222
422303120203123212030
544130332042313034
61325012224450512
7104430362663051
oct12633043334614
92558155444728
10742367541644
1126692213a823
12bba61479a38
135500ab82201
1427d060c3028
151449d85312e
hexacd88db98c

742367541644 has 96 divisors (see below), whose sum is σ = 1432543553280. Its totient is φ = 335321296128.

The previous prime is 742367541599. The next prime is 742367541677. The reversal of 742367541644 is 446145763247.

742367541644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7423675416442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173326727 + ... + 173331009.

It is an arithmetic number, because the mean of its divisors is an integer number (14922328680).

Almost surely, 2742367541644 is an apocalyptic number.

742367541644 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

742367541644 is a deficient number, since it is larger than the sum of its proper divisors (690176011636).

742367541644 is a wasteful number, since it uses less digits than its factorization.

742367541644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5559 (or 5557 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 53.

The spelling of 742367541644 in words is "seven hundred forty-two billion, three hundred sixty-seven million, five hundred forty-one thousand, six hundred forty-four".

Divisors: 1 2 4 19 37 38 53 74 76 106 148 212 703 1007 1163 1406 1961 2014 2326 2812 3922 4028 4283 4652 7844 8566 17132 22097 37259 43031 44194 61639 74518 81377 86062 88388 123278 149036 158471 162754 172124 226999 246556 316942 325508 453998 633884 817589 907996 1171141 1635178 2280643 2342282 3010949 3270356 4312981 4561286 4684564 4981129 6021898 8398963 8625962 9122572 9962258 12043796 16797926 17251924 19924516 33595852 43332217 86664434 94641451 159580297 173328868 184301773 189282902 263999837 319160594 368603546 378565804 527999674 638321188 737207092 1055999348 3501733687 5015996903 7003467374 9767993969 10031993806 14006934748 19535987938 20063987612 39071975876 185591885411 371183770822 742367541644