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2493781880304 = 24311133111719781
BaseRepresentation
bin100100010010100000111…
…110111010110111110000
322211101212221120100120010
4210102200332322313300
5311324231130132204
65145343320214520
7345112145143521
oct44224076726760
98741787510503
102493781880304
11881674949990
1234338a60a440
13151216386780
14889b1d26848
1544d07c8ed89
hex244a0fbadf0

2493781880304 has 160 divisors (see below), whose sum is σ = 7812687955968. Its totient is φ = 675059328000.

The previous prime is 2493781880287. The next prime is 2493781880371. The reversal of 2493781880304 is 4030881873942.

2493781880304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5647107 + ... + 6072674.

Almost surely, 22493781880304 is an apocalyptic number.

2493781880304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2493781880304 is an abundant number, since it is smaller than the sum of its proper divisors (5318906075664).

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

2493781880304 is a wasteful number, since it uses less digits than its factorization.

2493781880304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11719847 (or 11719841 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 2493781880304 in words is "two trillion, four hundred ninety-three billion, seven hundred eighty-one million, eight hundred eighty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 31 33 39 44 48 52 62 66 78 88 93 104 124 132 143 156 176 186 208 248 264 286 312 341 372 403 429 496 528 572 624 682 744 806 858 1023 1144 1209 1364 1488 1612 1716 2046 2288 2418 2728 3224 3432 4092 4433 4836 5456 6448 6864 8184 8866 9672 13299 16368 17732 19344 26598 35464 53196 70928 106392 212784 11719781 23439562 35159343 46879124 70318686 93758248 128917591 140637372 152357153 187516496 257835182 281274744 304714306 363313211 386752773 457071459 515670364 562549488 609428612 726626422 773505546 914142918 1031340728 1089939633 1218857224 1453252844 1547011092 1675928683 1828285836 2062681456 2179879266 2437714448 2906505688 3094022184 3351857366 3656571672 3996445321 4359758532 4723071743 5027786049 5813011376 6188044368 6703714732 7313143344 7992890642 8719517064 9446143486 10055572098 11989335963 13407429464 14169215229 15985781284 17439034128 18892286972 20111144196 23978671926 26814858928 28338430458 31971562568 37784573944 40222288392 47957343852 51953789173 56676860916 63943125136 75569147888 80444576784 95914687704 103907578346 113353721832 155861367519 191829375408 207815156692 226707443664 311722735038 415630313384 623445470076 831260626768 1246890940152 2493781880304