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46016133504 = 273112990361
BaseRepresentation
bin101010110110110001…
…100111100110000000
311101202221110210011220
4222312301213212000
51223220112233004
633050045235040
73216215452425
oct526661474600
9141687423156
1046016133504
11185739a9200
128b02862a80
1344545a9883
1423275b9d4c
1512e4c59dd9
hexab6c67980

46016133504 has 96 divisors (see below), whose sum is σ = 134352508920. Its totient is φ = 13944268800.

The previous prime is 46016133491. The next prime is 46016133509. The reversal of 46016133504 is 40533161064.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46016133509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 448717 + ... + 541644.

Almost surely, 246016133504 is an apocalyptic number.

46016133504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46016133504 is an abundant number, since it is smaller than the sum of its proper divisors (88336375416).

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

46016133504 is a wasteful number, since it uses less digits than its factorization.

46016133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990400 (or 990377 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 46016133504 its reverse (40533161064), we get a palindrome (86549294568).

The spelling of 46016133504 in words is "forty-six billion, sixteen million, one hundred thirty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 7744 11616 15488 23232 46464 990361 1980722 2971083 3961444 5942166 7922888 10893971 11884332 15845776 21787942 23768664 31691552 32681913 43575884 47537328 63383104 65363826 87151768 95074656 119833681 126766208 130727652 174303536 190149312 239667362 261455304 348607072 359501043 380298624 479334724 522910608 697214144 719002086 958669448 1045821216 1394428288 1438004172 1917338896 2091642432 2876008344 3834677792 4183284864 5752016688 7669355584 11504033376 15338711168 23008066752 46016133504