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677337676700740 = 2251123923914488711
BaseRepresentation
bin1001101000000010001111011…
…1100111001101110001000100
310021211020211221021202122200221
42122000203313213031301010
51202240000030213410430
610400324344421114124
7262446014025625456
oct23200436747156104
93254224837678627
10677337676700740
11186903328382610
1263b746b5558944
13230c38905aabc3
14bd39465c642d6
1553491925d357a
hex26808f79cdc44

677337676700740 has 96 divisors (see below), whose sum is σ = 1619360453652480. Its totient is φ = 235570197244800.

The previous prime is 677337676700651. The next prime is 677337676700743. The reversal of 677337676700740 is 47007676733776.

It is a self number, because there is not a number n which added to its sum of digits gives 677337676700740.

It is not an unprimeable number, because it can be changed into a prime (677337676700743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39504985 + ... + 53993695.

It is an arithmetic number, because the mean of its divisors is an integer number (16868338058880).

Almost surely, 2677337676700740 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 677337676700740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809680226826240).

677337676700740 is an abundant number, since it is smaller than the sum of its proper divisors (942022776951740).

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

677337676700740 is a wasteful number, since it uses less digits than its factorization.

677337676700740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14497993 (or 14497991 counting only the distinct ones).

The product of its (nonzero) digits is 914838624, while the sum is 70.

The spelling of 677337676700740 in words is "six hundred seventy-seven trillion, three hundred thirty-seven billion, six hundred seventy-six million, seven hundred thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 9239 18478 36956 46195 92390 101629 184780 203258 212497 406516 424994 508145 849988 1016290 1062485 2032580 2124970 2337467 4249940 4674934 9349868 11687335 14488711 23374670 28977422 46749340 57954844 72443555 144887110 159375821 289774220 318751642 333240353 637503284 666480706 796879105 1332961412 1593758210 1666201765 3187516420 3332403530 3665643883 6664807060 7331287766 14662575532 18328219415 36656438830 73312877660 133861200929 267722401858 535444803716 669306004645 1338612009290 1472473210219 2677224018580 2944946420438 3078807621367 5889892840876 6157615242734 7362366051095 12315230485468 14724732102190 15394038106835 29449464204380 30788076213670 33866883835037 61576152427340 67733767670074 135467535340148 169334419175185 338668838350370 677337676700740