Search a number
-
+
2751007266040 = 2351123071851433
BaseRepresentation
bin101000000010000100110…
…011111001010011111000
3100201222211102111211120111
4220002010303321103320
5330033030330003130
65503443441034104
7402516344640025
oct50020463712370
910658742454514
102751007266040
11970771979400
123851b6925934
1316c55a353527
14972141a454c
154b86009402a
hex28084cf94f8

2751007266040 has 96 divisors (see below), whose sum is σ = 6825792813840. Its totient is φ = 997107217920.

The previous prime is 2751007266037. The next prime is 2751007266149. The reversal of 2751007266040 is 406627001572.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2751007265984 and 2751007266002.

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, 560164 + ... + 2411596.

Almost surely, 22751007266040 is an apocalyptic number.

2751007266040 is a gapful number since it is divisible by the number (20) 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 2751007266040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412896406920).

2751007266040 is an abundant number, since it is smaller than the sum of its proper divisors (4074785547800).

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

2751007266040 is a wasteful number, since it uses less digits than its factorization.

2751007266040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851773 (or 1851758 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 2751007266040 in words is "two trillion, seven hundred fifty-one billion, seven million, two hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 307 440 484 605 614 968 1210 1228 1535 2420 2456 3070 3377 4840 6140 6754 12280 13508 16885 27016 33770 37147 67540 74294 135080 148588 185735 297176 371470 742940 1485880 1851433 3702866 7405732 9257165 14811464 18514330 20365763 37028660 40731526 74057320 81463052 101828815 162926104 203657630 224023393 407315260 448046786 568389931 814630520 896093572 1120116965 1136779862 1792187144 2240233930 2273559724 2841949655 4480467860 4547119448 5683899310 6252289241 8960935720 11367798620 12504578482 22735597240 25009156964 31261446205 50018313928 62522892410 68775181651 125045784820 137550363302 250091569640 275100726604 343875908255 550201453208 687751816510 1375503633020 2751007266040