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4262420266640 = 245174435770657
BaseRepresentation
bin111110000001101100000…
…010111011111010010000
3120002111001101201110211222
4332001230002323322100
51024313414042013030
613022043455024212
7616643514320564
oct76015402737220
916074041643758
104262420266640
1113a3756134a98
1258a103b0b068
1324bc38108313
1410a4334cb6a4
1575d1e3ad3e5
hex3e06c0bbe90

4262420266640 has 80 divisors (see below), whose sum is σ = 10493460844272. Its totient is φ = 1604616978432.

The previous prime is 4262420266627. The next prime is 4262420266669. The reversal of 4262420266640 is 466620242624.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1445111728384 + 2817308538256 = 1202128^2 + 1678484^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4262420266591 and 4262420266600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60290192 + ... + 60360848.

Almost surely, 24262420266640 is an apocalyptic number.

4262420266640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4262420266640 is an abundant number, since it is smaller than the sum of its proper divisors (6231040577632).

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

4262420266640 is a wasteful number, since it uses less digits than its factorization.

4262420266640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115044 (or 115038 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

The spelling of 4262420266640 in words is "four trillion, two hundred sixty-two billion, four hundred twenty million, two hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 44357 70657 88714 141314 177428 221785 282628 353285 354856 443570 565256 706570 709712 754069 887140 1130512 1201169 1413140 1508138 1774280 2402338 2826280 3016276 3548560 3770345 4804676 5652560 6005845 6032552 7540690 9609352 12011690 12065104 15081380 19218704 24023380 30162760 48046760 60325520 96093520 3134132549 6268265098 12536530196 15670662745 25073060392 31341325490 50146120784 53280253333 62682650980 106560506666 125365301960 213121013332 250730603920 266401266665 426242026664 532802533330 852484053328 1065605066660 2131210133320 4262420266640