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102368449620 = 22355179117673
BaseRepresentation
bin101111101010110100…
…0101001010001010100
3100210020020022001100000
41133111220221101110
53134122310341440
6115005531051300
710252533315303
oct1372550512124
9323206261300
10102368449620
113a461359388
1217a0aba0b30
1398653cc818
144d5182a43a
1529e212c730
hex17d5a29454

102368449620 has 144 divisors (see below), whose sum is σ = 323820020160. Its totient is φ = 27145518336.

The previous prime is 102368449607. The next prime is 102368449621. The reversal of 102368449620 is 26944863201.

102368449620 is a `hidden beast` number, since 10 + 2 + 3 + 6 + 8 + 4 + 4 + 9 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102368449621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811104 + ... + 928776.

It is an arithmetic number, because the mean of its divisors is an integer number (2248750140).

Almost surely, 2102368449620 is an apocalyptic number.

102368449620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102368449620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161910010080).

102368449620 is an abundant number, since it is smaller than the sum of its proper divisors (221451570540).

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

102368449620 is a wasteful number, since it uses less digits than its factorization.

102368449620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117876 (or 117862 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 102368449620 in words is "one hundred two billion, three hundred sixty-eight million, four hundred forty-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 179 180 243 270 324 358 405 486 537 540 716 810 895 972 1074 1215 1611 1620 1790 2148 2430 2685 3222 3580 4833 4860 5370 6444 8055 9666 10740 14499 16110 19332 24165 28998 32220 43497 48330 57996 72495 86994 96660 117673 144990 173988 217485 235346 289980 353019 434970 470692 588365 706038 869940 1059057 1176730 1412076 1765095 2118114 2353460 3177171 3530190 4236228 5295285 6354342 7060380 9531513 10590570 12708684 15885855 19063026 21063467 21181140 28594539 31771710 38126052 42126934 47657565 57189078 63190401 63543420 84253868 95315130 105317335 114378156 126380802 142972695 189571203 190630260 210634670 252761604 285945390 315952005 379142406 421269340 568713609 571890780 631904010 758284812 947856015 1137427218 1263808020 1706140827 1895712030 2274854436 2843568045 3412281654 3791424060 5118422481 5687136090 6824563308 8530704135 10236844962 11374272180 17061408270 20473689924 25592112405 34122816540 51184224810 102368449620