Search a number
-
+
331153970490 = 23357246771023
BaseRepresentation
bin1001101000110100101…
…00001001010100111010
31011122202200121201001000
410310122110021110322
520411200404023430
6412044030505430
732632206206550
oct4643224112472
91148680551030
10331153970490
11118494868452
125421a965276
13252c62c0085
1412056937bd0
15893277ee60
hex4d1a50953a

331153970490 has 128 divisors (see below), whose sum is σ = 1009654456320. Its totient is φ = 75660588864.

The previous prime is 331153970437. The next prime is 331153970501. The reversal of 331153970490 is 94079351133.

331153970490 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 539 + 70 + 49 + 0 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 4627119 + ... + 4698141.

It is an arithmetic number, because the mean of its divisors is an integer number (7887925440).

Almost surely, 2331153970490 is an apocalyptic number.

331153970490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331153970490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504827228160).

331153970490 is an abundant number, since it is smaller than the sum of its proper divisors (678500485830).

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

331153970490 is a wasteful number, since it uses less digits than its factorization.

331153970490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73513 (or 73507 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 331153970490 in words is "three hundred thirty-one billion, one hundred fifty-three million, nine hundred seventy thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 2467 4934 7401 12335 14802 17269 22203 24670 34538 37005 44406 51807 66609 71023 74010 86345 103614 111015 133218 142046 155421 172690 213069 222030 259035 310842 333045 355115 426138 466263 497161 518070 639207 666090 710230 777105 932526 994322 1065345 1278414 1491483 1554210 1917621 2130690 2331315 2485805 2982966 3196035 3835242 4474449 4662630 4971610 6392070 7457415 8948898 9588105 13423347 14914830 19176210 22372245 26846694 44744490 67116735 134233470 175213741 350427482 525641223 876068705 1051282446 1226496187 1576923669 1752137410 2452992374 2628206115 3153847338 3679488561 4730771007 5256412230 6132480935 7358977122 7884618345 9461542014 11038465683 12264961870 15769236690 18397442805 22076931366 23653855035 33115397049 36794885610 47307710070 55192328415 66230794098 110384656830 165576985245 331153970490