Search a number
-
+
24970274816 = 21131541727
BaseRepresentation
bin10111010000010110…
…000010100000000000
32101110012222101112012
4113100112002200000
5402114342243231
615245435352052
71542533556014
oct272026024000
971405871465
1024970274816
11a654084063
124a0a5b2628
13247c329656
1412cc44a544
159b229ee2b
hex5d0582800

24970274816 has 96 divisors (see below), whose sum is σ = 51705239040. Its totient is φ = 12043468800.

The previous prime is 24970274801. The next prime is 24970274831. The reversal of 24970274816 is 61847207942.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (24970274801) and next prime (24970274831).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34346645 + ... + 34347371.

It is an arithmetic number, because the mean of its divisors is an integer number (538596240).

Almost surely, 224970274816 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 24970274816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25852619520).

24970274816 is an abundant number, since it is smaller than the sum of its proper divisors (26734964224).

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

24970274816 is an equidigital number, since it uses as much as digits as its factorization.

24970274816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 50.

The spelling of 24970274816 in words is "twenty-four billion, nine hundred seventy million, two hundred seventy-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 541 727 992 1024 1082 1454 1984 2048 2164 2908 3968 4328 5816 7936 8656 11632 15872 16771 17312 22537 23264 31744 33542 34624 45074 46528 63488 67084 69248 90148 93056 134168 138496 180296 186112 268336 276992 360592 372224 393307 536672 553984 721184 744448 786614 1073344 1107968 1442368 1488896 1573228 2146688 2884736 3146456 4293376 5769472 6292912 8586752 11538944 12192517 12585824 17173504 23077888 24385034 25171648 34347008 46155776 48770068 50343296 97540136 100686592 195080272 201373184 390160544 402746368 780321088 805492736 1560642176 3121284352 6242568704 12485137408 24970274816