Search a number
-
+
94611435386496 = 2737269130846493
BaseRepresentation
bin10101100000110001110000…
…111111110111011010000000
3110101222202122121022212002220
4111200301300333313122000
544400103204424331441
6533115520550011040
725633310365515240
oct2540616077673200
9411882577285086
1094611435386496
1128167536840466
12a7403b6346a80
1340a3a8791c242
141951309d0db20
15ae10d9597466
hex560c70ff7680

94611435386496 has 128 divisors (see below), whose sum is σ = 288280995580800. Its totient is φ = 26931348369408.

The previous prime is 94611435386459. The next prime is 94611435386519. The reversal of 94611435386496 is 69468353411649.

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

It is a self number, because there is not a number n which added to its sum of digits gives 94611435386496.

It is an unprimeable number.

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, 64700175 + ... + 66146318.

It is an arithmetic number, because the mean of its divisors is an integer number (2252195277975).

Almost surely, 294611435386496 is an apocalyptic number.

94611435386496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

94611435386496 is an abundant number, since it is smaller than the sum of its proper divisors (193669560194304).

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

94611435386496 is a wasteful number, since it uses less digits than its factorization.

94611435386496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130846786 (or 130846774 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 69.

The spelling of 94611435386496 in words is "ninety-four trillion, six hundred eleven billion, four hundred thirty-five million, three hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 269 336 384 448 538 672 807 896 1076 1344 1614 1883 2152 2688 3228 3766 4304 5649 6456 7532 8608 11298 12912 15064 17216 22596 25824 30128 34432 45192 51648 60256 90384 103296 120512 180768 241024 361536 723072 130846493 261692986 392539479 523385972 785078958 915925451 1046771944 1570157916 1831850902 2093543888 2747776353 3140315832 3663701804 4187087776 5495552706 6280631664 7327403608 8374175552 10991105412 12561263328 14654807216 16748351104 21982210824 25122526656 29309614432 35197706617 43964421648 50245053312 58619228864 70395413234 87928843296 105593119851 117238457728 140790826468 175857686592 211186239702 246383946319 281581652936 351715373184 422372479404 492767892638 563163305872 739151838957 844744958808 985535785276 1126326611744 1478303677914 1689489917616 1971071570552 2252653223488 2956607355828 3378979835232 3942143141104 4505306446976 5913214711656 6757959670464 7884286282208 11826429423312 13515919340928 15768572564416 23652858846624 31537145128832 47305717693248 94611435386496