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10357132437780 = 22353125572177689
BaseRepresentation
bin1001011010110111010100…
…1100110010100100010100
31100200010120100220211110120
42112231311030302210110
52324142401401002110
634010000112351540
72116164253104642
oct226556514624424
940603510824416
1010357132437780
113333487284447
1211b33468455b0
135a189a5c001b
1427b405d54192
1512e62d221870
hex96b75332914

10357132437780 has 96 divisors (see below), whose sum is σ = 29947174763520. Its totient is φ = 2671761853440.

The previous prime is 10357132437779. The next prime is 10357132437797. The reversal of 10357132437780 is 8773423175301.

It is a super-3 number, since 3×103571324377803 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

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, 3667176 + ... + 5844864.

It is an arithmetic number, because the mean of its divisors is an integer number (311949737120).

Almost surely, 210357132437780 is an apocalyptic number.

10357132437780 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 10357132437780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14973587381760).

10357132437780 is an abundant number, since it is smaller than the sum of its proper divisors (19590042325740).

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

10357132437780 is a wasteful number, since it uses less digits than its factorization.

10357132437780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180289 (or 2180287 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 10357132437780 in words is "ten trillion, three hundred fifty-seven billion, one hundred thirty-two million, four hundred thirty-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 2557 5114 7671 10228 12785 15342 25570 30684 38355 51140 76710 79267 153420 158534 237801 317068 396335 475602 792670 951204 1189005 1585340 2177689 2378010 4355378 4756020 6533067 8710756 10888445 13066134 21776890 26132268 32665335 43553780 65330670 67508359 130661340 135016718 202525077 270033436 337541795 405050154 675083590 810100308 1012625385 1350167180 2025250770 4050501540 5568350773 11136701546 16705052319 22273403092 27841753865 33410104638 55683507730 66820209276 83525261595 111367015460 167050523190 172618873963 334101046380 345237747926 517856621889 690475495852 863094369815 1035713243778 1726188739630 2071426487556 2589283109445 3452377479260 5178566218890 10357132437780