Search a number
-
+
38740115970 = 2335433331367
BaseRepresentation
bin100100000101000101…
…110100001000000010
310200222212100210112000
4210011011310020002
51113314432202340
625444051044430
72541005360343
oct440505641002
9120885323460
1038740115970
111547a870576
127611ba0716
133865051b5a
141c371300ca
15101b0bcd30
hex905174202

38740115970 has 64 divisors (see below), whose sum is σ = 103545872640. Its totient is φ = 10306808064.

The previous prime is 38740115951. The next prime is 38740115977. The reversal of 38740115970 is 7951104783.

38740115970 is a `hidden beast` number, since 3 + 8 + 7 + 40 + 11 + 597 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38740115977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48774 + ... + 282593.

It is an arithmetic number, because the mean of its divisors is an integer number (1617904260).

Almost surely, 238740115970 is an apocalyptic number.

38740115970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38740115970 is an abundant number, since it is smaller than the sum of its proper divisors (64805756670).

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

38740115970 is a wasteful number, since it uses less digits than its factorization.

38740115970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331816 (or 331810 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 38740115970 in words is "thirty-eight billion, seven hundred forty million, one hundred fifteen thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 433 866 1299 2165 2598 3897 4330 6495 7794 11691 12990 19485 23382 38970 58455 116910 331367 662734 994101 1656835 1988202 2982303 3313670 4970505 5964606 8946909 9941010 14911515 17893818 29823030 44734545 89469090 143481911 286963822 430445733 717409555 860891466 1291337199 1434819110 2152228665 2582674398 3874011597 4304457330 6456685995 7748023194 12913371990 19370057985 38740115970