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172419019920 = 24325734210123
BaseRepresentation
bin1010000010010011111…
…0010111010010010000
3121111001011210201121200
42200210332113102100
510311103232114140
6211112545551200
715312463326240
oct2404476272220
9544034721550
10172419019920
1167139050694
12294ba945500
131334a172014
1484b9047b20
154741dcc030
hex2824f97490

172419019920 has 120 divisors (see below), whose sum is σ = 661760638656. Its totient is φ = 39410060544.

The previous prime is 172419019919. The next prime is 172419019933. The reversal of 172419019920 is 29910914271.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17100022 + ... + 17110101.

Almost surely, 2172419019920 is an apocalyptic number.

172419019920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172419019920 is an abundant number, since it is smaller than the sum of its proper divisors (489341618736).

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

172419019920 is a wasteful number, since it uses less digits than its factorization.

172419019920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34210149 (or 34210140 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 172419019920 in words is "one hundred seventy-two billion, four hundred nineteen million, nineteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 34210123 68420246 102630369 136840492 171050615 205260738 239470861 273680984 307891107 342101230 410521476 478941722 513151845 547361968 615782214 684202460 718412583 821042952 957883444 1026303690 1197354305 1231564428 1368404920 1436825166 1539455535 1642085904 1915766888 2052607380 2155237749 2394708610 2463128856 2736809840 2873650332 3078911070 3592062915 3831533776 4105214760 4310475498 4789417220 4926257712 5747300664 6157822140 7184125830 8210429520 8620950996 9578834440 10776188745 11494601328 12315644280 14368251660 17241901992 19157668880 21552377490 24631288560 28736503320 34483803984 43104754980 57473006640 86209509960 172419019920