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4114996676 = 2272171976269
BaseRepresentation
bin1111010101000101…
…1101110111000100
3101121210002111020022
43311101131313010
531411414343201
61520154354312
7203654615600
oct36521356704
911553074208
104114996676
1118218989aa
1296a12b998
135076b619b
142b072a500
151913dd41b
hexf545ddc4

4114996676 has 72 divisors (see below), whose sum is σ = 8916165720. Its totient is φ = 1651141632.

The previous prime is 4114996663. The next prime is 4114996709. The reversal of 4114996676 is 6766994114.

It can be written as a sum of positive squares in 4 ways, for example, as 1987019776 + 2127976900 = 44576^2 + 46130^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 653270 + ... + 659538.

It is an arithmetic number, because the mean of its divisors is an integer number (123835635).

Almost surely, 24114996676 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 4114996676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458082860).

4114996676 is an abundant number, since it is smaller than the sum of its proper divisors (4801169044).

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

4114996676 is a wasteful number, since it uses less digits than its factorization.

4114996676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6501 (or 6492 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 53.

The square root of 4114996676 is about 64148.2398511448. The cubic root of 4114996676 is about 1602.4697113879.

The spelling of 4114996676 in words is "four billion, one hundred fourteen million, nine hundred ninety-six thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 197 238 394 476 788 833 1379 1666 2758 3332 3349 5516 6269 6698 9653 12538 13396 19306 23443 25076 38612 43883 46886 87766 93772 106573 164101 175532 213146 307181 328202 426292 614362 656404 746011 1228724 1234993 1492022 2469986 2984044 4939972 5222077 8644951 10444154 17289902 20888308 20994881 34579804 41989762 60514657 83979524 121029314 146964167 242058628 293928334 587856668 1028749169 2057498338 4114996676