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46869348352 = 2151983907
BaseRepresentation
bin101011101001101000…
…011000000000000000
311110222101221120220211
4223221220120000000
51231442023121402
633310444443504
73246315613321
oct535150300000
9143871846824
1046869348352
1118971586142
129100549594
13455c2a2228
1423a8a38448
151344ae44d7
hexae9a18000

46869348352 has 128 divisors (see below), whose sum is σ = 99969710400. Its totient is φ = 21909602304.

The previous prime is 46869348329. The next prime is 46869348359. The reversal of 46869348352 is 25384396864.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×468693483522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46869348359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51674683 + ... + 51675589.

Almost surely, 246869348352 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 46869348352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49984855200).

46869348352 is an abundant number, since it is smaller than the sum of its proper divisors (53100362048).

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

46869348352 is an frugal number, since it uses more digits than its factorization.

46869348352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1011 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 58.

The spelling of 46869348352 in words is "forty-six billion, eight hundred sixty-nine million, three hundred forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 83 128 152 166 256 304 332 512 608 664 907 1024 1216 1328 1577 1814 2048 2432 2656 3154 3628 4096 4864 5312 6308 7256 8192 9728 10624 12616 14512 16384 17233 19456 21248 25232 29024 32768 34466 38912 42496 50464 58048 68932 75281 77824 84992 100928 116096 137864 150562 155648 169984 201856 232192 275728 301124 311296 339968 403712 464384 551456 602248 622592 679936 807424 928768 1102912 1204496 1359872 1430339 1614848 1857536 2205824 2408992 2719744 2860678 3229696 3715072 4411648 4817984 5721356 6459392 7430144 8823296 9635968 11442712 12918784 14860288 17646592 19271936 22885424 25837568 29720576 35293184 38543872 45770848 51675136 70586368 77087744 91541696 141172736 154175488 183083392 282345472 308350976 366166784 564690944 616701952 732333568 1233403904 1464667136 2466807808 2929334272 5858668544 11717337088 23434674176 46869348352