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38811227631776 = 2531107448381563
BaseRepresentation
bin10001101001100011100010…
…11011111011000010100000
312002102022120011222200122222
420310301301123323002200
520041340343233204101
6214313344250450212
711114006254454015
oct1064616133730240
9162368504880588
1038811227631776
1111403827211a06
124429a61733968
131886b63117772
1498268b19770c
15474880a8701b
hex234c716fb0a0

38811227631776 has 96 divisors (see below), whose sum is σ = 79630309398528. Its totient is φ = 18599737777920.

The previous prime is 38811227631719. The next prime is 38811227631811. The reversal of 38811227631776 is 67713672211883.

It is a happy number.

It is a super-2 number, since 2×388112276317762 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475802771 + ... + 475884333.

It is an arithmetic number, because the mean of its divisors is an integer number (829482389568).

Almost surely, 238811227631776 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 38811227631776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39815154699264).

38811227631776 is an abundant number, since it is smaller than the sum of its proper divisors (40819081766752).

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

38811227631776 is a wasteful number, since it uses less digits than its factorization.

38811227631776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86194 (or 86186 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 62.

The spelling of 38811227631776 in words is "thirty-eight trillion, eight hundred eleven billion, two hundred twenty-seven million, six hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 62 107 124 214 248 428 496 856 992 1712 3317 3424 4483 6634 8966 13268 17932 26536 35864 53072 71728 81563 106144 138973 143456 163126 277946 326252 479681 555892 652504 959362 1111784 1305008 1918724 2223568 2528453 2610016 3837448 4447136 5056906 7674896 8727241 10113812 14870111 15349792 17454482 20227624 29740222 34908964 40455248 59480444 69817928 80910496 118960888 139635856 237921776 270544471 279271712 365646929 475843552 541088942 731293858 1082177884 1462587716 2164355768 2925175432 4328711536 5850350864 8657423072 11335054799 11700701728 22670109598 39124221403 45340219196 78248442806 90680438392 156496885612 181360876784 312993771224 362721753568 625987542448 1212850863493 1251975084896 2425701726986 4851403453972 9702806907944 19405613815888 38811227631776