Search a number
-
+
6626148457760 = 255132475213827
BaseRepresentation
bin110000001101100010100…
…1110011001110100100000
3212110110020200022220001222
41200123011032121310200
51332030323001122020
622032002141314212
71252503064406006
oct140330516316440
925413220286058
106626148457760
112125152074317
128b0237865968
13390ac643c900
1418c9c8b70a76
15b7564731b25
hex606c5399d20

6626148457760 has 144 divisors (see below), whose sum is σ = 17311744227456. Its totient is φ = 2394522584064.

The previous prime is 6626148457741. The next prime is 6626148457793. The reversal of 6626148457760 is 677548416266.

It is a happy number.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6626148457693 and 6626148457702.

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, 1336034 + ... + 3877793.

It is an arithmetic number, because the mean of its divisors is an integer number (120220446024).

Almost surely, 26626148457760 is an apocalyptic number.

It is an amenable number.

6626148457760 is an abundant number, since it is smaller than the sum of its proper divisors (10685595769696).

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

6626148457760 is a wasteful number, since it uses less digits than its factorization.

6626148457760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5213915 (or 5213894 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 62.

The spelling of 6626148457760 in words is "six trillion, six hundred twenty-six billion, one hundred forty-eight million, four hundred fifty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 47 52 65 80 94 104 130 160 169 188 208 235 260 338 376 416 470 520 611 676 752 845 940 1040 1222 1352 1504 1690 1880 2080 2444 2704 3055 3380 3760 4888 5408 6110 6760 7520 7943 9776 12220 13520 15886 19552 24440 27040 31772 39715 48880 63544 79430 97760 127088 158860 254176 317720 635440 1270880 5213827 10427654 20855308 26069135 41710616 52138270 67779751 83421232 104276540 135559502 166842464 208553080 245049869 271119004 338898755 417106160 490099738 542238008 677797510 834212320 881136763 980199476 1084476016 1225249345 1355595020 1762273526 1960398952 2168952032 2450498690 2711190040 3185648297 3524547052 3920797904 4405683815 4900997380 5422380080 6371296594 7049094104 7841595808 8811367630 9801994760 10844760160 12742593188 14098188208 15928241485 17622735260 19603989520 25485186376 28196376416 31856482970 35245470520 39207979040 41413427861 50970372752 63712965940 70490941040 82826855722 101940745504 127425931880 140981882080 165653711444 207067139305 254851863760 331307422888 414134278610 509703727520 662614845776 828268557220 1325229691552 1656537114440 3313074228880 6626148457760