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46899930400 = 2552717311311
BaseRepresentation
bin101011101011011101…
…000010010100100000
311111001112111022121021
4223223131002110200
51232022340233100
633313500135224
73250136554651
oct535335022440
9144045438537
1046899930400
1118987873964
12910a837514
13456571c10b
1423acb19528
151347635a1a
hexaeb742520

46899930400 has 144 divisors (see below), whose sum is σ = 117707966208. Its totient is φ = 18240768000.

The previous prime is 46899930383. The next prime is 46899930409. The reversal of 46899930400 is 403999864.

It is not an unprimeable number, because it can be changed into a prime (46899930409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4140745 + ... + 4152055.

It is an arithmetic number, because the mean of its divisors is an integer number (817416432).

Almost surely, 246899930400 is an apocalyptic number.

46899930400 is a gapful number since it is divisible by the number (40) 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 46899930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58853983104).

46899930400 is an abundant number, since it is smaller than the sum of its proper divisors (70808035808).

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

46899930400 is a wasteful number, since it uses less digits than its factorization.

46899930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11475 (or 11462 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The spelling of 46899930400 in words is "forty-six billion, eight hundred ninety-nine million, nine hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 73 80 100 142 146 160 200 284 292 355 365 400 568 584 710 730 800 1136 1168 1420 1460 1775 1825 2272 2336 2840 2920 3550 3650 5183 5680 5840 7100 7300 10366 11311 11360 11680 14200 14600 20732 22622 25915 28400 29200 41464 45244 51830 56555 56800 58400 82928 90488 103660 113110 129575 165856 180976 207320 226220 259150 282775 361952 414640 452440 518300 565550 803081 825703 829280 904880 1036600 1131100 1606162 1651406 1809760 2073200 2262200 3212324 3302812 4015405 4128515 4146400 4524400 6424648 6605624 8030810 8257030 9048800 12849296 13211248 16061620 16514060 20077025 20642575 25698592 26422496 32123240 33028120 40154050 41285150 58624913 64246480 66056240 80308100 82570300 117249826 128492960 132112480 160616200 165140600 234499652 293124565 321232400 330281200 468999304 586249130 642464800 660562400 937998608 1172498260 1465622825 1875997216 2344996520 2931245650 4689993040 5862491300 9379986080 11724982600 23449965200 46899930400