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47305717693248 = 2637269130846493
BaseRepresentation
bin10101100000110001110000…
…11111111011101101000000
320012111101022210122221001110
422300120320133323231000
522200024102212140443
6244335540253003320
712651503532606120
oct1260307037735500
9205441283587043
1047305717693248
1114089273420233
1253801b9183540
132051baa476121
14b97874d76c80
155707e4a4b233
hex2b06387fbb40

47305717693248 has 112 divisors (see below), whose sum is σ = 143575240936320. Its totient is φ = 13465674184704.

The previous prime is 47305717693183. The next prime is 47305717693249. The reversal of 47305717693248 is 84239671750374.

47305717693248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47305717693249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65061711 + ... + 65784782.

It is a 1-persistent number, because it is pandigital, but 2⋅47305717693248 = 94611435386496 is not.

Almost surely, 247305717693248 is an apocalyptic number.

47305717693248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47305717693248 is an abundant number, since it is smaller than the sum of its proper divisors (96269523243072).

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

47305717693248 is a wasteful number, since it uses less digits than its factorization.

47305717693248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130846784 (or 130846774 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 66.

The spelling of 47305717693248 in words is "forty-seven trillion, three hundred five billion, seven hundred seventeen million, six hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 269 336 448 538 672 807 1076 1344 1614 1883 2152 3228 3766 4304 5649 6456 7532 8608 11298 12912 15064 17216 22596 25824 30128 45192 51648 60256 90384 120512 180768 361536 130846493 261692986 392539479 523385972 785078958 915925451 1046771944 1570157916 1831850902 2093543888 2747776353 3140315832 3663701804 4187087776 5495552706 6280631664 7327403608 8374175552 10991105412 12561263328 14654807216 21982210824 25122526656 29309614432 35197706617 43964421648 58619228864 70395413234 87928843296 105593119851 140790826468 175857686592 211186239702 246383946319 281581652936 422372479404 492767892638 563163305872 739151838957 844744958808 985535785276 1126326611744 1478303677914 1689489917616 1971071570552 2252653223488 2956607355828 3378979835232 3942143141104 5913214711656 6757959670464 7884286282208 11826429423312 15768572564416 23652858846624 47305717693248