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4214479896 = 2334113131889
BaseRepresentation
bin1111101100110011…
…1101110000011000
3101212201021202120000
43323030331300120
532112401324041
61534110533000
7206303326254
oct37314756030
911781252500
104214479896
111872a67140
12997507160
135221a86b3
142bda25264
15199edebb6
hexfb33dc18

4214479896 has 160 divisors (see below), whose sum is σ = 12925558800. Its totient is φ = 1272360960.

The previous prime is 4214479891. The next prime is 4214479901. The reversal of 4214479896 is 6989744124.

4214479896 is a `hidden beast` number, since 4 + 21 + 447 + 98 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (4214479891) and next prime (4214479901).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214479891) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2230120 + ... + 2232008.

Almost surely, 24214479896 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 4214479896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462779400).

4214479896 is an abundant number, since it is smaller than the sum of its proper divisors (8711078904).

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

4214479896 is a wasteful number, since it uses less digits than its factorization.

4214479896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2218 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 4214479896 is about 64919.0256858496. The cubic root of 4214479896 is about 1615.2806684385.

The spelling of 4214479896 in words is "four billion, two hundred fourteen million, four hundred seventy-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 313 324 396 594 626 648 792 891 939 1188 1252 1782 1878 1889 2376 2504 2817 3443 3564 3756 3778 5634 5667 6886 7128 7512 7556 8451 10329 11268 11334 13772 15112 16902 17001 20658 20779 22536 22668 25353 27544 30987 33804 34002 41316 41558 45336 50706 51003 61974 62337 67608 68004 82632 83116 92961 101412 102006 123948 124674 136008 153009 166232 185922 187011 202824 204012 247896 249348 278883 306018 371844 374022 408024 498696 557766 561033 591257 612036 743688 748044 1115532 1122066 1182514 1224072 1496088 1683099 1773771 2231064 2244132 2365028 3366198 3547542 4488264 4730056 5321313 6503827 6732396 7095084 10642626 13007654 13464792 14190168 15963939 19511481 21285252 26015308 31927878 39022962 42570504 47891817 52030616 58534443 63855756 78045924 95783634 117068886 127711512 156091848 175603329 191567268 234137772 351206658 383134536 468275544 526809987 702413316 1053619974 1404826632 2107239948 4214479896