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38093670976 = 263127872
BaseRepresentation
bin100011011110100011…
…110100101001000000
310122022210221222200211
4203132203310221000
51111003434432401
625255555323504
72515665601144
oct433643645100
9118283858624
1038093670976
111517897a909
1274715b0594
13379114401a
141bb5337224
15ece478951
hex8de8f4a40

38093670976 has 63 divisors (see below), whose sum is σ = 78208619427. Its totient is φ = 18409000320.

The previous prime is 38093670973. The next prime is 38093670983. The reversal of 38093670976 is 67907639083.

The square root of 38093670976 is 195176.

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

It is a super-2 number, since 2×380936709762 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38093670976.

It is not an unprimeable number, because it can be changed into a prime (38093670973) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48403255 + ... + 48404041.

Almost surely, 238093670976 is an apocalyptic number.

38093670976 is the 195176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38093670976

38093670976 is an abundant number, since it is smaller than the sum of its proper divisors (40114948451).

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

38093670976 is an frugal number, since it uses more digits than its factorization.

38093670976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 58.

The spelling of 38093670976 in words is "thirty-eight billion, ninety-three million, six hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 787 961 992 1574 1922 1984 3148 3844 6296 7688 12592 15376 24397 25184 30752 48794 50368 61504 97588 195176 390352 619369 756307 780704 1238738 1512614 1561408 2477476 3025228 4954952 6050456 9909904 12100912 19200439 19819808 24201824 38400878 39639616 48403648 76801756 153603512 307207024 595213609 614414048 1190427218 1228828096 2380854436 4761708872 9523417744 19046835488 38093670976