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1020021661656 = 2332432291438709
BaseRepresentation
bin11101101011111100000…
…01110101111111011000
310121111212001201012221100
432311332001311333120
5113203001021133111
62100331432111400
7133460042032314
oct16657601657730
93544761635840
101020021661656
113636526aa708
1214582b235560
13752592b900a
143752556ab44
151b7ee360756
hexed7e075fd8

1020021661656 has 96 divisors (see below), whose sum is σ = 2839150314000. Its totient is φ = 330649627392.

The previous prime is 1020021661627. The next prime is 1020021661727. The reversal of 1020021661656 is 6561661200201.

1020021661656 is a `hidden beast` number, since 1 + 0 + 20 + 0 + 2 + 16 + 616 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1020021661656.

It is a congruent number.

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, 10371 + ... + 1428338.

Almost surely, 21020021661656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020021661656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419575157000).

1020021661656 is an abundant number, since it is smaller than the sum of its proper divisors (1819128652344).

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

1020021661656 is a wasteful number, since it uses less digits than its factorization.

1020021661656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438993 (or 1438986 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 1020021661656 its reverse (6561661200201), we get a palindrome (7581682861857).

The spelling of 1020021661656 in words is "one trillion, twenty billion, twenty-one million, six hundred sixty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 229 258 344 387 458 516 687 774 916 1032 1374 1548 1832 2061 2748 3096 4122 5496 8244 9847 16488 19694 29541 39388 59082 78776 88623 118164 177246 236328 354492 708984 1438709 2877418 4316127 5754836 8632254 11509672 12948381 17264508 25896762 34529016 51793524 61864487 103587048 123728974 185593461 247457948 329464361 371186922 494915896 556780383 658928722 742373844 988393083 1113560766 1317857444 1484747688 1976786166 2227121532 2635714888 2965179249 3953572332 4454243064 5930358498 7907144664 11860716996 14166967523 23721433992 28333935046 42500902569 56667870092 85001805138 113335740184 127502707707 170003610276 255005415414 340007220552 510010830828 1020021661656