Search a number
-
+
325452945792 = 27313131497671
BaseRepresentation
bin1001011110001101000…
…00011101100110000000
31011010001101010122101010
410233012200131212000
520313011423231132
6405302214040520
732341012252362
oct4570640354600
91133041118333
10325452945792
11116029781197
12530a9649140
13248c8153890
1411a75712d32
1586ec0026cc
hex4bc681d980

325452945792 has 128 divisors (see below), whose sum is σ = 938091813120. Its totient is φ = 99374745600.

The previous prime is 325452945731. The next prime is 325452945799. The reversal of 325452945792 is 297549254523.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325452945799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405117 + ... + 902787.

It is an arithmetic number, because the mean of its divisors is an integer number (7328842290).

Almost surely, 2325452945792 is an apocalyptic number.

325452945792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325452945792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469045906560).

325452945792 is an abundant number, since it is smaller than the sum of its proper divisors (612638867328).

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

325452945792 is a wasteful number, since it uses less digits than its factorization.

325452945792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497832 (or 497820 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 57.

The spelling of 325452945792 in words is "three hundred twenty-five billion, four hundred fifty-two million, nine hundred forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 131 156 192 208 262 312 384 393 416 524 624 786 832 1048 1248 1572 1664 1703 2096 2496 3144 3406 4192 4992 5109 6288 6812 8384 10218 12576 13624 16768 20436 25152 27248 40872 50304 54496 81744 108992 163488 217984 326976 497671 653952 995342 1493013 1990684 2986026 3981368 5972052 6469723 7962736 11944104 12939446 15925472 19409169 23888208 25878892 31850944 38818338 47776416 51757784 63701888 65194901 77636676 95552832 103515568 130389802 155273352 191105664 195584703 207031136 260779604 310546704 391169406 414062272 521559208 621093408 782338812 828124544 847533713 1043118416 1242186816 1564677624 1695067426 2086236832 2484373632 2542601139 3129355248 3390134852 4172473664 5085202278 6258710496 6780269704 8344947328 10170404556 12517420992 13560539408 20340809112 25034841984 27121078816 40681618224 54242157632 81363236448 108484315264 162726472896 325452945792