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16129012277052 = 2233283615185793
BaseRepresentation
bin1110101010110101010000…
…0011000001111100111100
32010002220210121010112012000
43222231110003001330330
54103224204120331202
654145322124542300
73253165650204213
oct352552403017474
963086717115160
1016129012277052
115159303a47744
121985ab16b1990
138ccc61860a9c
143da91115407a
151ce84518591c
hexeab540c1f3c

16129012277052 has 96 divisors (see below), whose sum is σ = 41971028789760. Its totient is φ = 5356406361600.

The previous prime is 16129012277039. The next prime is 16129012277083. The reversal of 16129012277052 is 25077221092161.

16129012277052 is a `hidden beast` number, since 1 + 612 + 9 + 0 + 1 + 2 + 27 + 7 + 0 + 5 + 2 = 666.

16129012277052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 16129012276989 and 16129012277007.

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, 187956268 + ... + 188042060.

It is an arithmetic number, because the mean of its divisors is an integer number (437198216560).

Almost surely, 216129012277052 is an apocalyptic number.

16129012277052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16129012277052 is an abundant number, since it is smaller than the sum of its proper divisors (25842016512708).

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

16129012277052 is a wasteful number, since it uses less digits than its factorization.

16129012277052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92240 (or 92232 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 16129012277052 in words is "sixteen trillion, one hundred twenty-nine billion, twelve million, two hundred seventy-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 283 566 849 1132 1698 2547 3396 5094 6151 7641 10188 12302 15282 18453 24604 30564 36906 55359 73812 85793 110718 166077 171586 221436 257379 332154 343172 514758 664308 772137 1029516 1544274 1740733 2316411 3088548 3481466 4632822 5222199 6962932 9265644 10444398 15666597 20888796 24279419 31333194 46999791 48558838 62666388 72838257 93999582 97117676 145676514 187999164 218514771 291353028 437029542 527712743 655544313 874059084 1055425486 1311088626 1583138229 2110850972 2622177252 3166276458 4749414687 6332552916 9498829374 14248244061 18997658748 28496488122 56992976244 149342706269 298685412538 448028118807 597370825076 896056237614 1344084356421 1792112475228 2688168712842 4032253069263 5376337425684 8064506138526 16129012277052