Search a number
-
+
116332269677400 = 23352723956879921
BaseRepresentation
bin11010011100110110110111…
…100111000010101101011000
3120020220020220220002211012110
4122130312313213002231120
5110221441442014134100
61051230150143112320
733334505042632500
oct3234666747025530
9506806826084173
10116332269677400
1134081269503117
1211069b818a26a0
134cbb116b1130a
1420a27248d4a00
15d6b108d65250
hex69cdb79c2b58

116332269677400 has 144 divisors (see below), whose sum is σ = 419508409330440. Its totient is φ = 26590233062400.

The previous prime is 116332269677353. The next prime is 116332269677461. The reversal of 116332269677400 is 4776962233611.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1978410561 + ... + 1978469360.

Almost surely, 2116332269677400 is an apocalyptic number.

116332269677400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116332269677400 is an abundant number, since it is smaller than the sum of its proper divisors (303176139653040).

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

116332269677400 is a wasteful number, since it uses less digits than its factorization.

116332269677400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956879954 (or 3956879938 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 57.

The spelling of 116332269677400 in words is "one hundred sixteen trillion, three hundred thirty-two billion, two hundred sixty-nine million, six hundred seventy-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2940 3675 4200 4900 5880 7350 9800 14700 29400 3956879921 7913759842 11870639763 15827519684 19784399605 23741279526 27698159447 31655039368 39568799210 47482559052 55396318894 59353198815 79137598420 83094478341 94965118104 98921998025 110792637788 118706397630 138490797235 158275196840 166188956682 193887116129 197843996050 221585275576 237412795260 276981594470 296765994075 332377913364 387774232258 395687992100 415472391705 474825590520 553963188940 581661348387 593531988150 664755826728 692453986175 775548464516 791375984200 830944783410 969435580645 1107926377880 1163322696774 1187063976300 1384907972350 1551096929032 1661889566820 1938871161290 2077361958525 2326645393548 2374127952600 2769815944700 2908306741935 3323779133640 3877742322580 4154723917050 4653290787096 4847177903225 5539631889400 5816613483870 7755484645160 8309447834100 9694355806450 11633226967740 14541533709675 16618895668200 19388711612900 23266453935480 29083067419350 38777423225800 58166134838700 116332269677400