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2702112473040 = 2435103463923563
BaseRepresentation
bin100111010100100010011…
…101000011111111010000
3100120022121212022222221020
4213110202131003333100
5323232411243114130
65425155555555440
7366135603025101
oct47244235037720
910508555288836
102702112473040
11951a61057772
1237782bbbbb80
13167a67568556
1494ad656a3a8
154a44c762e10
hex27522743fd0

2702112473040 has 160 divisors (see below), whose sum is σ = 8460056616960. Its totient is φ = 713383469568.

The previous prime is 2702112473033. The next prime is 2702112473059. The reversal of 2702112473040 is 403742112072.

2702112473040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2702112472992 and 2702112473010.

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, 114664299 + ... + 114687861.

It is an arithmetic number, because the mean of its divisors is an integer number (52875353856).

Almost surely, 22702112473040 is an apocalyptic number.

2702112473040 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 2702112473040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230028308480).

2702112473040 is an abundant number, since it is smaller than the sum of its proper divisors (5757944143920).

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

2702112473040 is a wasteful number, since it uses less digits than its factorization.

2702112473040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28321 (or 28315 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 2702112473040 in words is "two trillion, seven hundred two billion, one hundred twelve million, four hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 4120 4639 4944 6180 8240 9278 12360 13917 18556 23195 23563 24720 27834 37112 46390 47126 55668 69585 70689 74224 92780 94252 111336 117815 139170 141378 185560 188504 222672 235630 278340 282756 353445 371120 377008 471260 477817 556680 565512 706890 942520 955634 1113360 1131024 1413780 1433451 1885040 1911268 2389085 2426989 2827560 2866902 3822536 4778170 4853978 5655120 5733804 7167255 7280967 7645072 9556340 9707956 11467608 12134945 14334510 14561934 19112680 19415912 22935216 24269890 28669020 29123868 36404835 38225360 38831824 48539780 57338040 58247736 72809670 97079560 109308757 114676080 116495472 145619340 194159120 218617514 291238680 327926271 437235028 546543785 582477360 655852542 874470056 1093087570 1311705084 1639631355 1748940112 2186175140 2623410168 3279262710 4372350280 5246820336 6558525420 8744700560 11258801971 13117050840 22517603942 26234101680 33776405913 45035207884 56294009855 67552811826 90070415768 112588019710 135105623652 168882029565 180140831536 225176039420 270211247304 337764059130 450352078840 540422494608 675528118260 900704157680 1351056236520 2702112473040