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4016910912 = 26376014973
BaseRepresentation
bin1110111101101101…
…0011001001000000
3101100221112012212020
43233123103021000
531211312122122
61502332201440
7201354115350
oct35733231100
911327465766
104016910912
111781494693
12941309280
134c0292a81
142a16b6b60
151879b5c5c
hexef6d3240

4016910912 has 112 divisors (see below), whose sum is σ = 12169030272. Its totient is φ = 1145548800.

The previous prime is 4016910907. The next prime is 4016910971. The reversal of 4016910912 is 2190196104.

4016910912 is digitally balanced in base 2, because in such base 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 a super-2 number, since 2×40169109122 = 32271146549889343488, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 805258 + ... + 810230.

It is an arithmetic number, because the mean of its divisors is an integer number (108652056).

Almost surely, 24016910912 is an apocalyptic number.

4016910912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4016910912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6084515136).

4016910912 is an abundant number, since it is smaller than the sum of its proper divisors (8152119360).

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

4016910912 is a wasteful number, since it uses less digits than its factorization.

4016910912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5596 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 4016910912 is about 63379.1046954751. The cubic root of 4016910912 is about 1589.6349401206.

The spelling of 4016910912 in words is "four billion, sixteen million, nine hundred ten thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 601 672 1202 1344 1803 2404 3606 4207 4808 4973 7212 8414 9616 9946 12621 14424 14919 16828 19232 19892 25242 28848 29838 33656 34811 38464 39784 50484 57696 59676 67312 69622 79568 100968 104433 115392 119352 134624 139244 159136 201936 208866 238704 269248 278488 318272 403872 417732 477408 556976 807744 835464 954816 1113952 1670928 2227904 2988773 3341856 5977546 6683712 8966319 11955092 17932638 20921411 23910184 35865276 41842822 47820368 62764233 71730552 83685644 95640736 125528466 143461104 167371288 191281472 251056932 286922208 334742576 502113864 573844416 669485152 1004227728 1338970304 2008455456 4016910912