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2496401312490 = 2365418352241
BaseRepresentation
bin100100010100111101000…
…111010000101011101010
322211122122111111022000000
4210110331013100223222
5311400112213444430
65150455251523430
7345234103020201
oct44247507205352
98748574438000
102496401312490
11882799507078
1234399b8b9576
13151542c71547
1488b7db86238
1544e0cc0ce60
hex2453d1d0aea

2496401312490 has 112 divisors (see below), whose sum is σ = 6901524382536. Its totient is φ = 649470182400.

The previous prime is 2496401312453. The next prime is 2496401312519. The reversal of 2496401312490 is 942131046942.

2496401312490 is a `hidden beast` number, since 2 + 4 + 96 + 40 + 1 + 31 + 2 + 490 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1530983054241 + 965418258249 = 1237329^2 + 982557^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3877231 + ... + 4475010.

Almost surely, 22496401312490 is an apocalyptic number.

2496401312490 is an abundant number, since it is smaller than the sum of its proper divisors (4405123070046).

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

2496401312490 is an equidigital number, since it uses as much as digits as its factorization.

2496401312490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8352307 (or 8352292 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2496401312490 in words is "two trillion, four hundred ninety-six billion, four hundred one million, three hundred twelve thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 243 246 270 369 405 410 486 615 729 738 810 1107 1215 1230 1458 1845 2214 2430 3321 3645 3690 5535 6642 7290 9963 11070 16605 19926 29889 33210 49815 59778 99630 149445 298890 8352241 16704482 25056723 41761205 50113446 75170169 83522410 125283615 150340338 225510507 250567230 342441881 375850845 451021014 676531521 684883762 751701690 1027325643 1127552535 1353063042 1712209405 2029594563 2054651286 2255105070 3081976929 3382657605 3424418810 4059189126 5136628215 6088783689 6163953858 6765315210 9245930787 10147972815 10273256430 12177567378 15409884645 18491861574 20295945630 27737792361 30443918445 30819769290 46229653935 55475584722 60887836890 83213377083 92459307870 138688961805 166426754166 249640131249 277377923610 416066885415 499280262498 832133770830 1248200656245 2496401312490