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46422055512 = 233272101130279
BaseRepresentation
bin101011001110111110…
…000101101001011000
311102211020021202111100
4223032332011221120
51230033021234022
633154225431400
73232244650500
oct531676055130
9142736252440
1046422055512
1118762049438
128bb679b560
1344ba712801
142365482a00
15131a6dd1ac
hexacef85a58

46422055512 has 144 divisors (see below), whose sum is σ = 147702344400. Its totient is φ = 13132022400.

The previous prime is 46422055489. The next prime is 46422055531. The reversal of 46422055512 is 21555022464.

46422055512 is a `hidden beast` number, since 4 + 642 + 2 + 0 + 5 + 5 + 5 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 291189 + ... + 421467.

It is an arithmetic number, because the mean of its divisors is an integer number (1025710725).

Almost surely, 246422055512 is an apocalyptic number.

46422055512 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 46422055512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73851172200).

46422055512 is an abundant number, since it is smaller than the sum of its proper divisors (101280288888).

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

46422055512 is a wasteful number, since it uses less digits than its factorization.

46422055512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130406 (or 130392 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 46422055512 its reverse (21555022464), we get a palindrome (67977077976).

The spelling of 46422055512 in words is "forty-six billion, four hundred twenty-two million, fifty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 101 126 147 168 196 202 252 294 303 392 404 441 504 588 606 707 808 882 909 1176 1212 1414 1764 1818 2121 2424 2828 3528 3636 4242 4949 5656 6363 7272 8484 9898 12726 14847 16968 19796 25452 29694 39592 44541 50904 59388 89082 118776 130279 178164 260558 356328 390837 521116 781674 911953 1042232 1172511 1563348 1823906 2345022 2735859 3126696 3647812 4690044 5471718 6383671 7295624 8207577 9380088 10943436 12767342 13158179 16415154 19151013 21886872 25534684 26316358 32830308 38302026 39474537 51069368 52632716 57453039 65660616 76604052 78949074 92107253 105265432 114906078 118423611 153208104 157898148 184214506 229812156 236847222 276321759 315796296 368429012 459624312 473694444 552643518 644750771 736858024 828965277 947388888 1105287036 1289501542 1657930554 1934252313 2210574072 2579003084 3315861108 3868504626 5158006168 5802756939 6631722216 7737009252 11605513878 15474018504 23211027756 46422055512