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42235906664 = 23719234736721
BaseRepresentation
bin100111010101011101…
…001100101001101000
311001000111022100211102
4213111131030221220
51142444343003124
631223010020532
73023434166060
oct472535145150
9131014270742
1042235906664
1116a04082896
128228877748
133ca1376563
1420895143a0
151172e47aae
hex9d574ca68

42235906664 has 128 divisors (see below), whose sum is σ = 101528985600. Its totient is φ = 16053396480.

The previous prime is 42235906613. The next prime is 42235906681. The reversal of 42235906664 is 46660953224.

It is a happy number.

42235906664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1131824 + ... + 1168544.

It is an arithmetic number, because the mean of its divisors is an integer number (793195200).

Almost surely, 242235906664 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 42235906664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50764492800).

42235906664 is an abundant number, since it is smaller than the sum of its proper divisors (59293078936).

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

42235906664 is a wasteful number, since it uses less digits than its factorization.

42235906664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36823 (or 36819 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 47.

The spelling of 42235906664 in words is "forty-two billion, two hundred thirty-five million, nine hundred six thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 23 28 38 46 47 56 76 92 94 133 152 161 184 188 266 322 329 376 437 532 644 658 874 893 1064 1081 1288 1316 1748 1786 2162 2632 3059 3496 3572 4324 6118 6251 7144 7567 8648 12236 12502 15134 20539 24472 25004 30268 36721 41078 50008 60536 73442 82156 143773 146884 164312 257047 287546 293768 514094 575092 697699 844583 1028188 1150184 1395398 1689166 1725887 2056376 2790796 3378332 3451774 4883893 5581592 5912081 6756664 6903548 9767786 11824162 12081209 13807096 16047077 19535572 23648324 24162418 32094154 32791853 39071144 39695401 47296648 48324836 64188308 65583706 79390802 96649672 112329539 128376616 131167412 158781604 224659078 229542971 262334824 277867807 317563208 449318156 459085942 555735614 754212619 898636312 918171884 1111471228 1508425238 1836343768 2222942456 3016850476 5279488333 6033700952 10558976666 21117953332 42235906664