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4125420096 = 263710728687
BaseRepresentation
bin1111010111100100…
…1110101001000000
3101122111201001110220
43311321032221000
531422101420341
61521210023040
7204142330560
oct36571165100
911574631426
104125420096
1118277681a6
12971717a80
135098c56a5
142b1c80da0
1519229ba66
hexf5e4ea40

4125420096 has 112 divisors (see below), whose sum is σ = 12591507456. Its totient is φ = 1167634944.

The previous prime is 4125420083. The next prime is 4125420097. The reversal of 4125420096 is 6900245214.

4125420096 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (4125420097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129465 + ... + 158151.

Almost surely, 24125420096 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 4125420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6295753728).

4125420096 is an abundant number, since it is smaller than the sum of its proper divisors (8466087360).

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

4125420096 is a wasteful number, since it uses less digits than its factorization.

4125420096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28816 (or 28806 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4125420096 is about 64229.4332529877. The cubic root of 4125420096 is about 1603.8216064768.

The spelling of 4125420096 in words is "four billion, one hundred twenty-five million, four hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 107 112 168 192 214 224 321 336 428 448 642 672 749 856 1284 1344 1498 1712 2247 2568 2996 3424 4494 5136 5992 6848 8988 10272 11984 17976 20544 23968 28687 35952 47936 57374 71904 86061 114748 143808 172122 200809 229496 344244 401618 458992 602427 688488 803236 917984 1204854 1376976 1606472 1835968 2409708 2753952 3069509 3212944 4819416 5507904 6139018 6425888 9208527 9638832 12278036 12851776 18417054 19277664 21486563 24556072 36834108 38555328 42973126 49112144 64459689 73668216 85946252 98224288 128919378 147336432 171892504 196448576 257838756 294672864 343785008 515677512 589345728 687570016 1031355024 1375140032 2062710048 4125420096