Search a number
-
+
127621126505214 = 23317571243469063
BaseRepresentation
bin11101000001001000011011…
…111010010100001011111110
3121201212110102201211201201000
4131001020123322110023332
5113211421031341131324
61131232200335031130
735611215325504146
oct3501103372241376
9551773381751630
10127621126505214
11377338a7922111
12123919b506b4a6
13562980b58b454
142372c772ad926
15eb4ab97ac9c9
hex74121be942fe

127621126505214 has 64 divisors (see below), whose sum is σ = 300810897953280. Its totient is φ = 39967881217920.

The previous prime is 127621126505183. The next prime is 127621126505227. The reversal of 127621126505214 is 412505621126721.

127621126505214 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 2 + 1 + 126 + 505 + 2 + 14 = 666.

127621126505214 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 127621126505214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121210354 + ... + 122258709.

It is an arithmetic number, because the mean of its divisors is an integer number (4700170280520).

Almost surely, 2127621126505214 is an apocalyptic number.

127621126505214 is an abundant number, since it is smaller than the sum of its proper divisors (173189771448066).

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

127621126505214 is a wasteful number, since it uses less digits than its factorization.

127621126505214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243469662 (or 243469656 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 127621126505214 in words is "one hundred twenty-seven trillion, six hundred twenty-one billion, one hundred twenty-six million, five hundred five thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 571 918 1142 1713 3426 5139 9707 10278 15417 19414 29121 30834 58242 87363 174726 262089 524178 243469063 486938126 730407189 1460814378 2191221567 4138974071 4382443134 6573664701 8277948142 12416922213 13147329402 24833844426 37250766639 74501533278 111752299917 139020834973 223504599834 278041669946 417062504919 834125009838 1251187514757 2363354194541 2502375029514 3753562544271 4726708389082 7090062583623 7507125088542 14180125167246 21270187750869 42540375501738 63810563252607 127621126505214