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2739126949680 = 2435115319576379
BaseRepresentation
bin100111110111000000101…
…100000101011100110000
3100200212011110121020022110
4213313000230011130300
5324334212444342210
65454200524405320
7401616055626132
oct47670054053460
910625143536273
102739126949680
11966725832930
12382a400a6840
1316b3b5c34934
149680841d052
154b3b70b5420
hex27dc0b05730

2739126949680 has 160 divisors (see below), whose sum is σ = 9438007714560. Its totient is φ = 651501859840.

The previous prime is 2739126949639. The next prime is 2739126949697. The reversal of 2739126949680 is 869496219372.

It is a super-2 number, since 2×27391269496802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 9648270 + ... + 9928109.

It is an arithmetic number, because the mean of its divisors is an integer number (58987548216).

Almost surely, 22739126949680 is an apocalyptic number.

2739126949680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2739126949680 is an abundant number, since it is smaller than the sum of its proper divisors (6698880764880).

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

2739126949680 is a wasteful number, since it uses less digits than its factorization.

2739126949680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19576459 (or 19576453 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 66.

The spelling of 2739126949680 in words is "two trillion, seven hundred thirty-nine billion, one hundred twenty-six million, nine hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 53 55 60 66 80 88 106 110 120 132 159 165 176 212 220 240 264 265 318 330 424 440 528 530 583 636 660 795 848 880 1060 1166 1272 1320 1590 1749 2120 2332 2544 2640 2915 3180 3498 4240 4664 5830 6360 6996 8745 9328 11660 12720 13992 17490 23320 27984 34980 46640 69960 139920 19576379 39152758 58729137 78305516 97881895 117458274 156611032 195763790 215340169 234916548 293645685 313222064 391527580 430680338 469833096 587291370 646020507 783055160 861360676 939666192 1037548087 1076700845 1174582740 1292041014 1566110320 1722721352 2075096174 2153401690 2349165480 2584082028 3112644261 3230102535 3445442704 4150192348 4306803380 4698330960 5168164056 5187740435 6225288522 6460205070 8300384696 8613606760 10336328112 10375480870 11413028957 12450577044 12920410140 15563221305 16600769392 17227213520 20750961740 22826057914 24901154088 25840820280 31126442610 34239086871 41501923480 45652115828 49802308176 51681640560 57065144785 62252885220 68478173742 83003846960 91304231656 114130289570 124505770440 136956347484 171195434355 182608463312 228260579140 249011540880 273912694968 342390868710 456521158280 547825389936 684781737420 913042316560 1369563474840 2739126949680