Search a number
-
+
1357286894520 = 2335172657250409
BaseRepresentation
bin10011110000000100100…
…110100110101110111000
311210202101122202012221020
4103300010212212232320
5134214210421111040
62515310132342440
7200026556150514
oct23600446465670
94722348665836
101357286894520
11483693081a17
1219b074774a20
139acb772c96b
144999b997144
152548d3a4cd0
hex13c049a6bb8

1357286894520 has 128 divisors (see below), whose sum is σ = 4313021774400. Its totient is φ = 340522827776.

The previous prime is 1357286894507. The next prime is 1357286894539. The reversal of 1357286894520 is 254986827531.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5295076 + ... + 5545484.

It is a 1-persistent number, because it is pandigital, but 2⋅1357286894520 = 2714573789040 is not.

Almost surely, 21357286894520 is an apocalyptic number.

1357286894520 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 1357286894520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156510887200).

1357286894520 is an abundant number, since it is smaller than the sum of its proper divisors (2955734879880).

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

1357286894520 is a wasteful number, since it uses less digits than its factorization.

1357286894520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253097 (or 253093 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 1357286894520 in words is "one trillion, three hundred fifty-seven billion, two hundred eighty-six million, eight hundred ninety-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 2657 5314 7971 10628 13285 15942 21256 26570 31884 39855 45169 53140 63768 79710 90338 106280 135507 159420 180676 225845 250409 271014 318840 361352 451690 500818 542028 677535 751227 903380 1001636 1084056 1252045 1355070 1502454 1806760 2003272 2504090 2710140 3004908 3756135 4256953 5008180 5420280 6009816 7512270 8513906 10016360 12770859 15024540 17027812 21284765 25541718 30049080 34055624 42569530 51083436 63854295 85139060 102166872 127708590 170278120 255417180 510834360 665336713 1330673426 1996010139 2661346852 3326683565 3992020278 5322693704 6653367130 7984040556 9980050695 11310724121 13306734260 15968081112 19960101390 22621448242 26613468520 33932172363 39920202780 45242896484 56553620605 67864344726 79840405560 90485792968 113107241210 135728689452 169660861815 226214482420 271457378904 339321723630 452428964840 678643447260 1357286894520