Search a number
-
+
38432262789376 = 2867257832
BaseRepresentation
bin10001011110100001101010…
…10111110001100100000000
312001002002101110210001012021
420233100311113301210000
520014133233233230001
6213423312055011224
711044432204450051
oct1057206527614400
9161062343701167
1038432262789376
1111278038465885
12438851b069b14
13185a1ba780951
1496c1ba97a728
15469aa0c32ba1
hex22f4355f1900

38432262789376 has 81 divisors (see below), whose sum is σ = 77889948787371. Its totient is φ = 18926050192896.

The previous prime is 38432262789359. The next prime is 38432262789419. The reversal of 38432262789376 is 67398726223483.

The square root of 38432262789376 is 6199376.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×384322627893762 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6645728181 + ... + 6645733963.

Almost surely, 238432262789376 is an apocalyptic number.

38432262789376 is the 6199376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38432262789376

38432262789376 is an abundant number, since it is smaller than the sum of its proper divisors (39457685997995).

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

38432262789376 is an frugal number, since it uses more digits than its factorization.

38432262789376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11716 (or 5852 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 70.

The spelling of 38432262789376 in words is "thirty-eight trillion, four hundred thirty-two billion, two hundred sixty-two million, seven hundred eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 536 1072 2144 4288 4489 5783 8576 8978 11566 17152 17956 23132 35912 46264 71824 92528 143648 185056 287296 370112 387461 574592 740224 774922 1149184 1480448 1549844 3099688 6199376 12398752 24797504 25959887 33443089 49595008 51919774 66886178 99190016 103839548 133772356 207679096 267544712 415358192 535089424 830716384 1070178848 1661432768 2140357696 2240686963 3322865536 4280715392 4481373926 6645731072 8561430784 8962747852 17925495704 35850991408 71701982816 143403965632 150126026521 286807931264 300252053042 573615862528 600504106084 1201008212168 2402016424336 4804032848672 9608065697344 19216131394688 38432262789376