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4070606436 = 22321319736271
BaseRepresentation
bin1111001010100000…
…1000011001100100
3101111200120020021100
43302220020121210
531314033401221
61511531120100
7202605404151
oct36250103144
911450506240
104070606436
1117a9829956
129572a3030
134cb443280
142a8893228
1518c570926
hexf2a08664

4070606436 has 144 divisors (see below), whose sum is σ = 11825981440. Its totient is φ = 1170132480.

The previous prime is 4070606399. The next prime is 4070606443. The reversal of 4070606436 is 6346060704.

4070606436 is a `hidden beast` number, since 4 + 0 + 7 + 0 + 6 + 0 + 643 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4070606436.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645981 + ... + 652251.

Almost surely, 24070606436 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 4070606436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5912990720).

4070606436 is an abundant number, since it is smaller than the sum of its proper divisors (7755375004).

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

4070606436 is a wasteful number, since it uses less digits than its factorization.

4070606436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6381 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4070606436 is about 63801.3043440336. The cubic root of 4070606436 is about 1596.6866898251.

The spelling of 4070606436 in words is "four billion, seventy million, six hundred six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 73 76 78 114 117 146 156 171 219 228 234 247 292 342 438 468 494 657 684 741 876 949 988 1314 1387 1482 1898 2223 2628 2774 2847 2964 3796 4161 4446 5548 5694 6271 8322 8541 8892 11388 12483 12542 16644 17082 18031 18813 24966 25084 34164 36062 37626 49932 54093 56439 72124 75252 81523 108186 112878 119149 162279 163046 216372 225756 238298 244569 324558 326092 357447 457783 476596 489138 649116 714894 733707 915566 978276 1072341 1373349 1429788 1467414 1548937 1831132 2144682 2746698 2934828 3097874 4120047 4289364 4646811 5493396 5951179 6195748 8240094 8697877 9293622 11902358 13940433 16480188 17395754 17853537 18587244 23804716 26093631 27880866 34791508 35707074 52187262 53560611 55761732 71414148 78280893 104374524 107121222 113072401 156561786 214242444 226144802 313123572 339217203 452289604 678434406 1017651609 1356868812 2035303218 4070606436