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77013412213400 = 23521346436379613
BaseRepresentation
bin10001100000101100010101…
…000100111111001010011000
3101002200102002010000210010022
4101200230111010333022120
540043241432011312100
6431443250111210012
722136015101601225
oct2140542504771230
9332612063023108
1077013412213400
11225a2228505953
12877986bb16908
1333c8444c30780
14150367d08a94c
158d846791de85
hex460b1513f298

77013412213400 has 96 divisors (see below), whose sum is σ = 192871297478160. Its totient is φ = 28429592547840.

The previous prime is 77013412213301. The next prime is 77013412213447. The reversal of 77013412213400 is 431221431077.

It is a congruent number.

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, 8881994 + ... + 15261606.

Almost surely, 277013412213400 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 77013412213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96435648739080).

77013412213400 is an abundant number, since it is smaller than the sum of its proper divisors (115857885264760).

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

77013412213400 is a wasteful number, since it uses less digits than its factorization.

77013412213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6384285 (or 6384276 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

Adding to 77013412213400 its reverse (431221431077), we get a palindrome (77444633644477).

The spelling of 77013412213400 in words is "seventy-seven trillion, thirteen billion, four hundred twelve million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 4643 9286 18572 23215 37144 46430 60359 92860 116075 120718 185720 232150 241436 301795 464300 482872 603590 928600 1207180 1508975 2414360 3017950 6035900 6379613 12071800 12759226 25518452 31898065 51036904 63796130 82934969 127592260 159490325 165869938 255184520 318980650 331739876 414674845 637961300 663479752 829349690 1275922600 1658699380 2073374225 3317398760 4146748450 8293496900 16586993800 29620543159 59241086318 118482172636 148102715795 236964345272 296205431590 385067061067 592410863180 740513578975 770134122134 1184821726360 1481027157950 1540268244268 1925335305335 2962054315900 3080536488536 3850670610670 5924108631800 7701341221340 9626676526675 15402682442680 19253353053350 38506706106700 77013412213400