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1628039683320 = 2335257359147047
BaseRepresentation
bin10111101100001110101…
…110100001110011111000
312202122020212212222101220
4113230032232201303320
5203133211124331240
63243524444312040
7225423224656641
oct27541656416370
95678225788356
101628039683320
115784a1a5a596
12223637242620
13ba6a612942b
1458b2464a6c8
152c5380885d0
hex17b0eba1cf8

1628039683320 has 128 divisors (see below), whose sum is σ = 4916814566400. Its totient is φ = 431247097856.

The previous prime is 1628039683297. The next prime is 1628039683327. The reversal of 1628039683320 is 233869308261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628039683327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10998037 + ... + 11145083.

It is an arithmetic number, because the mean of its divisors is an integer number (38412613800).

Almost surely, 21628039683320 is an apocalyptic number.

1628039683320 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 1628039683320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458407283200).

1628039683320 is an abundant number, since it is smaller than the sum of its proper divisors (3288774883080).

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

1628039683320 is a wasteful number, since it uses less digits than its factorization.

1628039683320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147677 (or 147673 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 1628039683320 in words is "one trillion, six hundred twenty-eight billion, thirty-nine million, six hundred eighty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 257 359 514 718 771 1028 1077 1285 1436 1542 1795 2056 2154 2570 2872 3084 3590 3855 4308 5140 5385 6168 7180 7710 8616 10280 10770 14360 15420 21540 30840 43080 92263 147047 184526 276789 294094 369052 441141 461315 553578 588188 735235 738104 882282 922630 1107156 1176376 1383945 1470470 1764564 1845260 2205705 2214312 2767890 2940940 3529128 3690520 4411410 5535780 5881880 8822820 11071560 17645640 37791079 52789873 75582158 105579746 113373237 151164316 158369619 188955395 211159492 226746474 263949365 302328632 316739238 377910790 422318984 453492948 527898730 566866185 633478476 755821580 791848095 906985896 1055797460 1133732370 1266956952 1511643160 1583696190 2111594920 2267464740 3167392380 4534929480 6334784760 13566997361 27133994722 40700992083 54267989444 67834986805 81401984166 108535978888 135669973610 162803968332 203504960415 271339947220 325607936664 407009920830 542679894440 814019841660 1628039683320