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1010458616640 = 26351195687369
BaseRepresentation
bin11101011010001000000…
…01101110001101000000
310120121011121011012100220
432231010001232031000
5113023404401213030
62052110454543040
7133001051345514
oct16550401561500
93517147135326
101010458616640
1135a595601420
12143a00667a80
1374393cab9b5
1436c9946c144
151b43ea15a10
hexeb4406e340

1010458616640 has 112 divisors (see below), whose sum is σ = 3499861245120. Its totient is φ = 244959662080.

The previous prime is 1010458616621. The next prime is 1010458616653. The reversal of 1010458616640 is 466168540101.

It is a junction number, because it is equal to n+sod(n) for n = 1010458616592 and 1010458616601.

It is a congruent number.

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, 47833125 + ... + 47854244.

Almost surely, 21010458616640 is an apocalyptic number.

1010458616640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010458616640 is an abundant number, since it is smaller than the sum of its proper divisors (2489402628480).

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

1010458616640 is a wasteful number, since it uses less digits than its factorization.

1010458616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95687400 (or 95687390 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 1010458616640 in words is "one trillion, ten billion, four hundred fifty-eight million, six hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 95687369 191374738 287062107 382749476 478436845 574124214 765498952 956873690 1052561059 1148248428 1435310535 1530997904 1913747380 2105122118 2296496856 2870621070 3061995808 3157683177 3827494760 4210244236 4592993712 5262805295 5741242140 6123991616 6315366354 7654989520 8420488472 9185987424 10525610590 11482484280 12630732708 15309979040 15788415885 16840976944 18371974848 21051221180 22964968560 25261465416 30619958080 31576831770 33681953888 42102442360 45929937120 50522930832 63153663540 67363907776 84204884720 91859874240 101045861664 126307327080 168409769440 202091723328 252614654160 336819538880 505229308320 1010458616640