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99214211280 = 24352361294649
BaseRepresentation
bin101110001100110100…
…0001011100011010000
3100111002102001010202210
41130121220023203100
53111142314230110
6113324532512120
710111422611202
oct1343150134320
9314072033683
1099214211280
1139092921438
121728a77b640
139481a941c2
144b32954772
1528aa26d520
hex1719a0b8d0

99214211280 has 160 divisors (see below), whose sum is σ = 326198764800. Its totient is φ = 24891863040.

The previous prime is 99214211273. The next prime is 99214211293. The reversal of 99214211280 is 8211241299.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189396 + ... + 484044.

It is an arithmetic number, because the mean of its divisors is an integer number (2038742280).

Almost surely, 299214211280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99214211280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163099382400).

99214211280 is an abundant number, since it is smaller than the sum of its proper divisors (226984553520).

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

99214211280 is a wasteful number, since it uses less digits than its factorization.

99214211280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294749 (or 294743 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 99214211280 in words is "ninety-nine billion, two hundred fourteen million, two hundred eleven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 61 69 80 92 115 120 122 138 183 184 230 240 244 276 305 345 366 368 460 488 552 610 690 732 915 920 976 1104 1220 1380 1403 1464 1830 1840 2440 2760 2806 2928 3660 4209 4880 5520 5612 7015 7320 8418 11224 14030 14640 16836 21045 22448 28060 33672 42090 56120 67344 84180 112240 168360 294649 336720 589298 883947 1178596 1473245 1767894 2357192 2946490 3535788 4419735 4714384 5892980 6776927 7071576 8839470 11785960 13553854 14143152 17678940 17973589 20330781 23571920 27107708 33884635 35357880 35947178 40661562 53920767 54215416 67769270 70715760 71894356 81323124 89867945 101653905 107841534 108430832 135538540 143788712 162646248 179735890 203307810 215683068 269603835 271077080 287577424 325292496 359471780 406615620 413392547 431366136 539207670 542154160 718943560 813231240 826785094 862732272 1078415340 1240177641 1437887120 1626462480 1653570188 2066962735 2156830680 2480355282 3307140376 4133925470 4313661360 4960710564 6200888205 6614280752 8267850940 9921421128 12401776410 16535701880 19842842256 24803552820 33071403760 49607105640 99214211280