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4245245106336 = 2532131765764217
BaseRepresentation
bin111101110001101100010…
…100111001100010100000
3120000211201102121221011200
4331301230110321202200
51024023230221400321
613010123315441200
7615465063006123
oct75615424714240
916024642557150
104245245106336
111397442209933
1258690bbb6200
1324a42ba46b80
141096844543ba
1575666636d26
hex3dc6c5398a0

4245245106336 has 144 divisors (see below), whose sum is σ = 13002001916904. Its totient is φ = 1306134945792.

The previous prime is 4245245106287. The next prime is 4245245106371. The reversal of 4245245106336 is 6336015425424.

4245245106336 is a `hidden beast` number, since 4 + 2 + 4 + 5 + 2 + 4 + 5 + 1 + 0 + 633 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1546650398736 + 2698594707600 = 1243644^2 + 1642740^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4245245106291 and 4245245106300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66075700 + ... + 66139916.

Almost surely, 24245245106336 is an apocalyptic number.

It is an amenable number.

4245245106336 is an abundant number, since it is smaller than the sum of its proper divisors (8756756810568).

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

4245245106336 is a wasteful number, since it uses less digits than its factorization.

4245245106336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81903 (or 81892 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 4245245106336 in words is "four trillion, two hundred forty-five billion, two hundred forty-five million, one hundred six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 17657 35314 52971 64217 70628 105942 128434 141256 158913 192651 211884 229541 256868 282512 317826 385302 423768 459082 513736 565024 577953 635652 688623 770604 834821 847536 918164 1027472 1155906 1271304 1377246 1541208 1669642 1695072 1836328 2054944 2065869 2311812 2504463 2542608 2754492 3082416 3339284 3672656 4131738 4623624 5008926 5085216 5508984 6164832 6678568 7345312 7513389 8263476 9247248 10017852 11017968 13357136 15026778 16526952 18494496 20035704 22035936 26714272 30053556 33053904 40071408 60107112 66107808 80142816 120214224 240428448 1133879569 2267759138 3401638707 4535518276 6803277414 9071036552 10204916121 13606554828 14740434397 18142073104 20409832242 27213109656 29480868794 36284146208 40819664484 44221303191 54426219312 58961737588 81639328968 88442606382 108852438624 117923475176 132663909573 163278657936 176885212764 235846950352 265327819146 326557315872 353770425528 471693900704 530655638292 707540851056 1061311276584 1415081702112 2122622553168 4245245106336