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1476063741416 = 23113295390191
BaseRepresentation
bin10101011110101100010…
…000010100010111101000
312020002222102100012210212
4111132230100110113220
5143140434304211131
63050032212400252
7211433143534055
oct25365420242750
95202872305725
101476063741416
11519aa4557000
121ba0a2916088
13a92663a71a4
14516286a402c
15285e0c99a2b
hex157ac4145e8

1476063741416 has 128 divisors (see below), whose sum is σ = 3208598438400. Its totient is φ = 635572537600.

The previous prime is 1476063741409. The next prime is 1476063741457. The reversal of 1476063741416 is 6141473606741.

It is a super-2 number, since 2×14760637414162 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16320881 + ... + 16411071.

It is an arithmetic number, because the mean of its divisors is an integer number (25067175300).

Almost surely, 21476063741416 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 1476063741416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604299219200).

1476063741416 is an abundant number, since it is smaller than the sum of its proper divisors (1732534696984).

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

1476063741416 is a wasteful number, since it uses less digits than its factorization.

1476063741416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90312 (or 90286 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 50.

The spelling of 1476063741416 in words is "one trillion, four hundred seventy-six billion, sixty-three million, seven hundred forty-one thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 22 29 44 53 58 88 106 116 121 212 232 242 319 424 484 583 638 968 1166 1276 1331 1537 2332 2552 2662 3074 3509 4664 5324 6148 6413 7018 10648 12296 12826 14036 16907 25652 28072 33814 38599 51304 67628 70543 77198 90191 135256 141086 154396 180382 185977 282172 308792 360764 371954 564344 721528 743908 992101 1487816 1984202 2045747 2615539 3968404 4091494 4780123 5231078 7936808 8182988 9560246 10462156 10913111 16365976 19120492 20924312 21826222 28770929 38240984 43652444 52581353 57541858 87304888 105162706 115083716 120044221 138623567 210325412 230167432 240088442 277247134 316480219 420650824 480176884 554494268 578394883 632960438 960353768 1108988536 1156789766 1265920876 1524859237 2313579532 2531841752 3049718474 3481282409 4627159064 6099436948 6362343713 6962564818 12198873896 12724687426 13925129636 16773451607 25449374852 27850259272 33546903214 50898749704 67093806428 134187612856 184507967677 369015935354 738031870708 1476063741416