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426045540624 = 243115779139627
BaseRepresentation
bin1100011001100100100…
…10110000100100010000
31111201200211211220220120
412030302102300210100
523440020124244444
6523420030310240
742531543225534
oct6146222604420
91451624756816
10426045540624
11154759667590
126a6a1958380
1331239668442
141689934dbc4
15b138295b19
hex63324b0910

426045540624 has 80 divisors (see below), whose sum is σ = 1200890161920. Its totient is φ = 129081444480.

The previous prime is 426045540619. The next prime is 426045540629.

426045540624 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (426045540619) and next prime (426045540629).

It is not an unprimeable number, because it can be changed into a prime (426045540629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2981499 + ... + 3121125.

It is an arithmetic number, because the mean of its divisors is an integer number (15011127024).

Almost surely, 2426045540624 is an apocalyptic number.

426045540624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

426045540624 is an abundant number, since it is smaller than the sum of its proper divisors (774844621296).

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

426045540624 is a wasteful number, since it uses less digits than its factorization.

426045540624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145428 (or 145422 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

It can be divided in two parts, 426045 and 540624, that added together give a palindrome (966669).

The spelling of 426045540624 in words is "four hundred twenty-six billion, forty-five million, five hundred forty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 5779 11558 17337 23116 34674 46232 63569 69348 92464 127138 138696 139627 190707 254276 277392 279254 381414 418881 508552 558508 762828 837762 1017104 1117016 1525656 1535897 1675524 2234032 3051312 3071794 3351048 4607691 6143588 6702096 9215382 12287176 18430764 24574352 36861528 73723056 806904433 1613808866 2420713299 3227617732 4841426598 6455235464 8875948763 9682853196 12910470928 17751897526 19365706392 26627846289 35503795052 38731412784 53255692578 71007590104 106511385156 142015180208 213022770312 426045540624