Search a number
-
+
6902919920 = 2451321034957
BaseRepresentation
bin1100110110111001…
…00011001011110000
3122211002001122221202
412123130203023300
5103114121414140
63100545310332
7333026564651
oct63334431360
918732048852
106902919920
112a225779a6
1214079353a8
13860175500
14496ac9528
152a603e915
hex19b7232f0

6902919920 has 120 divisors (see below), whose sum is σ = 17551082016. Its totient is φ = 2523515904.

The previous prime is 6902919809. The next prime is 6902919971. The reversal of 6902919920 is 299192096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1390082 + ... + 1395038.

Almost surely, 26902919920 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 6902919920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8775541008).

6902919920 is an abundant number, since it is smaller than the sum of its proper divisors (10648162096).

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

6902919920 is a wasteful number, since it uses less digits than its factorization.

6902919920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099 (or 5080 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 47.

The square root of 6902919920 is about 83083.8126231578. The cubic root of 6902919920 is about 1904.0467690298.

The spelling of 6902919920 in words is "six billion, nine hundred two million, nine hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 103 104 130 169 206 208 260 338 412 515 520 676 824 845 1030 1040 1339 1352 1648 1690 2060 2678 2704 3380 4120 4957 5356 6695 6760 8240 9914 10712 13390 13520 17407 19828 21424 24785 26780 34814 39656 49570 53560 64441 69628 79312 87035 99140 107120 128882 139256 174070 198280 257764 278512 322205 348140 396560 510571 515528 644410 696280 837733 1021142 1031056 1288820 1392560 1675466 2042284 2552855 2577640 3350932 4084568 4188665 5105710 5155280 6637423 6701864 8169136 8377330 10211420 13274846 13403728 16754660 20422840 26549692 33187115 33509320 40845680 53099384 66374230 67018640 86286499 106198768 132748460 172572998 265496920 345145996 431432495 530993840 690291992 862864990 1380583984 1725729980 3451459960 6902919920