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1938143064 = 23311133118217
BaseRepresentation
bin111001110000101…
…1011011101011000
312000001221212110110
41303201123131120
512432131034224
6520153044320
766012641604
oct16341333530
95001855413
101938143064
11905038630
124610b66a0
1324b6ca120
14145596504
15b5244929
hex7385b758

1938143064 has 128 divisors (see below), whose sum is σ = 5876398080. Its totient is φ = 524620800.

The previous prime is 1938143059. The next prime is 1938143083. The reversal of 1938143064 is 4603418391.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97284 + ... + 115500.

It is an arithmetic number, because the mean of its divisors is an integer number (45909360).

Almost surely, 21938143064 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 1938143064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938199040).

1938143064 is an abundant number, since it is smaller than the sum of its proper divisors (3938255016).

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

1938143064 is a wasteful number, since it uses less digits than its factorization.

1938143064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18281 (or 18277 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1938143064 is about 44024.3462643115. The cubic root of 1938143064 is about 1246.7956463666.

It can be divided in two parts, 193814 and 3064, that added together give a triangular number (196878 = T627).

The spelling of 1938143064 in words is "one billion, nine hundred thirty-eight million, one hundred forty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 31 33 39 44 52 62 66 78 88 93 104 124 132 143 156 186 248 264 286 312 341 372 403 429 572 682 744 806 858 1023 1144 1209 1364 1612 1716 2046 2418 2728 3224 3432 4092 4433 4836 8184 8866 9672 13299 17732 18217 26598 35464 36434 53196 54651 72868 106392 109302 145736 200387 218604 236821 400774 437208 473642 564727 601161 710463 801548 947284 1129454 1202322 1420926 1603096 1694181 1894568 2258908 2404644 2605031 2841852 3388362 4517816 4809288 5210062 5683704 6211997 6776724 7341451 7815093 10420124 12423994 13553448 14682902 15630186 18635991 20840248 22024353 24847988 29365804 31260372 37271982 44048706 49695976 58731608 62520744 74543964 80755961 88097412 149087928 161511922 176194824 242267883 323023844 484535766 646047688 969071532 1938143064