Search a number
-
+
116251151675120 = 24571125643735949
BaseRepresentation
bin11010011011101011010100…
…100110011010111011110000
3120020121111112122021100101122
4122123223110212122323300
5110214124324312100440
61051125013010521412
733325603624166150
oct3233532446327360
9506544478240348
10116251151675120
113404a922506410
1211056303596268
134cb358a1947b7
14209c82b492760
15d68e5c6567b5
hex69bad499aef0

116251151675120 has 160 divisors (see below), whose sum is σ = 336990963340800. Its totient is φ = 36232662942720.

The previous prime is 116251151675119. The next prime is 116251151675129. The reversal of 116251151675120 is 21576151152611.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116251151675129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157592906 + ... + 158328854.

It is an arithmetic number, because the mean of its divisors is an integer number (2106193520880).

Almost surely, 2116251151675120 is an apocalyptic number.

116251151675120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116251151675120 is an abundant number, since it is smaller than the sum of its proper divisors (220739811665680).

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

116251151675120 is a wasteful number, since it uses less digits than its factorization.

116251151675120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761623 (or 761617 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 44.

The spelling of 116251151675120 in words is "one hundred sixteen trillion, two hundred fifty-one billion, one hundred fifty-one million, six hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 25643 51286 102572 128215 179501 205144 256430 282073 359002 410288 512860 564146 718004 735949 897505 1025720 1128292 1410365 1436008 1471898 1795010 1974511 2051440 2256584 2820730 2872016 2943796 3590020 3679745 3949022 4513168 5151643 5641460 5887592 7180040 7359490 7898044 8095439 9872555 10303286 11282920 11775184 14360080 14718980 15796088 16190878 19745110 20606572 22565840 25758215 29437960 31592176 32381756 39490220 40477195 41213144 51516430 56668073 58875920 64763512 78980440 80954390 82426288 103032860 113336146 129527024 157960880 161908780 206065720 226672292 283340365 323817560 412131440 453344584 566680730 647635120 906689168 1133361460 2266722920 4533445840 18871940207 37743880414 75487760828 94359701035 132103581449 150975521656 188719402070 207591342277 264207162898 301951043312 377438804140 415182684554 528414325796 660517907245 754877608280 830365369108 1037956711385 1056828651592 1321035814490 1453139395939 1509755216560 1660730738216 2075913422770 2113657303184 2642071628980 2906278791878 3321461476432 4151826845540 5284143257960 5812557583756 7265696979695 8303653691080 10568286515920 11625115167512 14531393959390 16607307382160 23250230335024 29062787918780 58125575837560 116251151675120