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2760066130640 = 2457132913073447
BaseRepresentation
bin101000001010100000110…
…000101110001011010000
3100202212012202100211122012
4220022200300232023100
5330210103412140030
65511542404002052
7403260004006010
oct50124060561320
910685182324565
102760066130640
119745a0415465
12386b04690328
13170372073a40
149783333dc40
154bbe04ec095
hex282a0c2e2d0

2760066130640 has 160 divisors (see below), whose sum is σ = 8170382062080. Its totient is φ = 843394148352.

The previous prime is 2760066130639. The next prime is 2760066130643. The reversal of 2760066130640 is 460316600672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2760066130643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6325604 + ... + 6747843.

It is an arithmetic number, because the mean of its divisors is an integer number (51064887888).

Almost surely, 22760066130640 is an apocalyptic number.

2760066130640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2760066130640 is an abundant number, since it is smaller than the sum of its proper divisors (5410315931440).

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

2760066130640 is a wasteful number, since it uses less digits than its factorization.

2760066130640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13073509 (or 13073503 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 2760066130640 in words is "two trillion, seven hundred sixty billion, sixty-six million, one hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 29 35 40 52 56 58 65 70 80 91 104 112 116 130 140 145 182 203 208 232 260 280 290 364 377 406 455 464 520 560 580 728 754 812 910 1015 1040 1160 1456 1508 1624 1820 1885 2030 2320 2639 3016 3248 3640 3770 4060 5278 6032 7280 7540 8120 10556 13195 15080 16240 21112 26390 30160 42224 52780 105560 211120 13073447 26146894 52293788 65367235 91514129 104587576 130734470 169954811 183028258 209175152 261468940 339909622 366056516 379129963 457570645 522937880 679819244 732113032 758259926 849774055 915141290 1045875760 1189683677 1359638488 1464226064 1516519852 1699548110 1830282580 1895649815 2379367354 2653909741 2719276976 3033039704 3399096220 3660565160 3791299630 4758734708 4928689519 5307819482 5948418385 6066079408 6798192440 7321130320 7582599260 9517469416 9857379038 10615638964 11896836770 13269548705 13596384880 15165198520 19034938832 19714758076 21231277928 23793673540 24643447595 26539097410 30330397040 34500826633 39429516152 42462555856 47587347080 49286895190 53078194820 69001653266 78859032304 95174694160 98573790380 106156389640 138003306532 172504133165 197147580760 212312779280 276006613064 345008266330 394295161520 552013226128 690016532660 1380033065320 2760066130640