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2490493908492 = 22321779109746957
BaseRepresentation
bin100100001111011101000…
…000010011011000001100
322211002101210200002011100
4210033131000103120030
5311301012420032432
65144041143423100
7344634521636052
oct44173500233014
98732353602140
102490493908492
11880237980007
12342811454a90
13150b11126215
148877d39c1d2
1544bb42b607c
hex243dd01360c

2490493908492 has 144 divisors (see below), whose sum is σ = 6756407199360. Its totient is φ = 770721509376.

The previous prime is 2490493908473. The next prime is 2490493908541. The reversal of 2490493908492 is 2948093940942.

2490493908492 is a `hidden beast` number, since 2 + 49 + 0 + 49 + 390 + 84 + 92 = 666.

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 47 ways as a sum of consecutive naturals, for example, 53014278 + ... + 53061234.

It is an arithmetic number, because the mean of its divisors is an integer number (46919494440).

Almost surely, 22490493908492 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 2490493908492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378203599680).

2490493908492 is an abundant number, since it is smaller than the sum of its proper divisors (4265913290868).

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

2490493908492 is a wasteful number, since it uses less digits than its factorization.

2490493908492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48160 (or 48155 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 2490493908492 in words is "two trillion, four hundred ninety billion, four hundred ninety-three million, nine hundred eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 79 102 153 158 204 237 306 316 474 612 711 948 1097 1343 1422 2194 2686 2844 3291 4029 4388 5372 6582 8058 9873 12087 13164 16116 18649 19746 24174 37298 39492 46957 48348 55947 74596 86663 93914 111894 140871 167841 173326 187828 223788 259989 281742 335682 346652 422613 519978 563484 671364 779967 798269 845226 1039956 1473271 1559934 1596538 1690452 2394807 2946542 3119868 3193076 3709603 4419813 4789614 5893084 7184421 7419206 8839626 9579228 11128809 13259439 14368842 14838412 17679252 22257618 26518878 28737684 33386427 44515236 51511829 53037756 63063251 66772854 103023658 126126502 133545708 154535487 189189753 206047316 252253004 309070974 378379506 463606461 567569259 618141948 756759012 875701093 927212922 1135138518 1751402186 1854425844 2270277036 2627103279 3502804372 4069434491 5254206558 7881309837 8138868982 10508413116 12208303473 15762619674 16277737964 24416606946 31525239348 36624910419 48833213892 69180386347 73249820838 138360772694 146499641676 207541159041 276721545388 415082318082 622623477123 830164636164 1245246954246 2490493908492