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10424012040520 = 23513313413189467
BaseRepresentation
bin1001011110110000011110…
…0010001110100101001000
31100220112012022200200000021
42113230013202032211020
52331241334040244040
634100420334350224
72124052510254331
oct227540742164510
940815168620007
1010424012040520
113359887052901
1212042b065b374
135a7c9841a460
1428074c383288
1513124490a24a
hex97b0788e948

10424012040520 has 128 divisors (see below), whose sum is σ = 26080740080640. Its totient is φ = 3723598033920.

The previous prime is 10424012040457. The next prime is 10424012040553. The reversal of 10424012040520 is 2504021042401.

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, 54922827 + ... + 55112293.

It is an arithmetic number, because the mean of its divisors is an integer number (203755781880).

Almost surely, 210424012040520 is an apocalyptic number.

10424012040520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10424012040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13040370040320).

10424012040520 is an abundant number, since it is smaller than the sum of its proper divisors (15656728040120).

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

10424012040520 is a wasteful number, since it uses less digits than its factorization.

10424012040520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192935 (or 192931 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 10424012040520 its reverse (2504021042401), we get a palindrome (12928033082921).

The spelling of 10424012040520 in words is "ten trillion, four hundred twenty-four billion, twelve million, forty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 3224 3413 4030 6826 8060 13652 16120 17065 27304 34130 44369 68260 88738 105803 136520 177476 189467 211606 221845 354952 378934 423212 443690 529015 757868 846424 887380 947335 1058030 1375439 1515736 1774760 1894670 2116060 2463071 2750878 3789340 4232120 4926142 5501756 5873477 6877195 7578680 9852284 11003512 11746954 12315355 13754390 19704568 23493908 24630710 27508780 29367385 46987816 49261420 55017560 58734770 76355201 98522840 117469540 152710402 234939080 305420804 381776005 610841608 646650871 763552010 1293301742 1527104020 2586603484 3054208040 3233254355 5173206968 6466508710 8406461323 12933017420 16812922646 20046177001 25866034840 33625845292 40092354002 42032306615 67251690584 80184708004 84064613230 100230885005 160369416008 168129226460 200461770010 260600301013 336258452920 400923540020 521200602026 801847080040 1042401204052 1303001505065 2084802408104 2606003010130 5212006020260 10424012040520