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46690121280 = 2635114421413
BaseRepresentation
bin101011011110111100…
…101011011001000000
311110111220200220121010
4223132330223121000
51231110132340110
633241003200520
73242011324365
oct533674533100
9143456626533
1046690121280
111888a3a11a0
129070516140
13453110c0ca
14238cd0246c
151333ee0020
hexadef2b640

46690121280 has 112 divisors (see below), whose sum is σ = 161717638464. Its totient is φ = 11318814720.

The previous prime is 46690121273. The next prime is 46690121287. The reversal of 46690121280 is 8212109664.

It is an interprime number because it is at equal distance from previous prime (46690121273) and next prime (46690121287).

It is a super-2 number, since 2×466901212802 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46690121287) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2200147 + ... + 2221266.

Almost surely, 246690121280 is an apocalyptic number.

46690121280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46690121280 is an abundant number, since it is smaller than the sum of its proper divisors (115027517184).

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

46690121280 is a wasteful number, since it uses less digits than its factorization.

46690121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421444 (or 4421434 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 46690121280 in words is "forty-six billion, six hundred ninety million, one hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 4421413 8842826 13264239 17685652 22107065 26528478 35371304 44214130 48635543 53056956 66321195 70742608 88428260 97271086 106113912 132642390 141485216 145906629 176856520 194542172 212227824 243177715 265284780 282970432 291813258 353713040 389084344 424455648 486355430 530569560 583626516 707426080 729533145 778168688 848911296 972710860 1061139120 1167253032 1414852160 1459066290 1556337376 1945421720 2122278240 2334506064 2918132580 3112674752 3890843440 4244556480 4669012128 5836265160 7781686880 9338024256 11672530320 15563373760 23345060640 46690121280