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3989190172760 = 2351331295783689
BaseRepresentation
bin111010000011001110010…
…000110110000001011000
3112010100210112002120200022
4322003032100312001120
51010324330141012020
612252335245530012
7561131564664602
oct72031620660130
915110715076608
103989190172760
1112a8895944451
1254516b873908
1322c2433c7360
14db113814172
156db7be83625
hex3a0ce436058

3989190172760 has 128 divisors (see below), whose sum is σ = 9981418406400. Its totient is φ = 1424918753280.

The previous prime is 3989190172741. The next prime is 3989190172771. The reversal of 3989190172760 is 672710919893.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 3989190172693 and 3989190172702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47624996 + ... + 47708684.

It is an arithmetic number, because the mean of its divisors is an integer number (77979831300).

Almost surely, 23989190172760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3989190172760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990709203200).

3989190172760 is an abundant number, since it is smaller than the sum of its proper divisors (5992228233640).

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

3989190172760 is a wasteful number, since it uses less digits than its factorization.

3989190172760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86701 (or 86697 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 62.

The spelling of 3989190172760 in words is "three trillion, nine hundred eighty-nine billion, one hundred ninety million, one hundred seventy-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 2957 3224 4030 5914 8060 11828 14785 16120 23656 29570 38441 59140 76882 83689 91667 118280 153764 167378 183334 192205 307528 334756 366668 384410 418445 458335 669512 733336 768820 836890 916670 1087957 1191671 1537640 1673780 1833340 2175914 2383342 2594359 3347560 3666680 4351828 4766684 5188718 5439785 5958355 8703656 9533368 10377436 10879570 11916710 12971795 20754872 21759140 23833420 25943590 33726667 43518280 47666840 51887180 67453334 103774360 134906668 168633335 247468373 269813336 337266670 494936746 674533340 989873492 1237341865 1349066680 1979746984 2474683730 3217088849 4949367460 6434177698 7671519563 9898734920 12868355396 15343039126 16085444245 25736710792 30686078252 32170888490 38357597815 61372156504 64341776980 76715195630 99729754319 128683553960 153430391260 199459508638 306860782520 398919017276 498648771595 797838034552 997297543190 1994595086380 3989190172760