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117206671872 = 293475413001
BaseRepresentation
bin110110100101000001…
…1111110001000000000
3102012112100000211200010
41231022003332020000
53410014401444442
6125502145424520
711316330162423
oct1551203761000
9365470024603
10117206671872
1145786124384
121a87033b140
13b08b584ba4
14595c37b9ba
1530aeb37b9c
hex1b4a0fe200

117206671872 has 160 divisors (see below), whose sum is σ = 319585330944. Its totient is φ = 38154240000.

The previous prime is 117206671871. The next prime is 117206671937. The reversal of 117206671872 is 278176602711.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (117206671871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39054372 + ... + 39057372.

Almost surely, 2117206671872 is an apocalyptic number.

117206671872 is a gapful number since it is divisible by the number (12) 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 117206671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159792665472).

117206671872 is an abundant number, since it is smaller than the sum of its proper divisors (202378659072).

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

117206671872 is an equidigital number, since it uses as much as digits as its factorization.

117206671872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 48.

The spelling of 117206671872 in words is "one hundred seventeen billion, two hundred six million, six hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 512 541 564 752 768 1082 1128 1504 1536 1623 2164 2256 3001 3008 3246 4328 4512 6002 6016 6492 8656 9003 9024 12004 12032 12984 17312 18006 18048 24008 24064 25427 25968 34624 36012 36096 48016 50854 51936 69248 72024 72192 76281 96032 101708 103872 138496 141047 144048 152562 192064 203416 207744 276992 282094 288096 305124 384128 406832 415488 423141 564188 576192 610248 768256 813664 830976 846282 1128376 1152384 1220496 1536512 1623541 1627328 1692564 2256752 2304768 2440992 3247082 3254656 3385128 4513504 4609536 4870623 4881984 6494164 6509312 6770256 9027008 9741246 9763968 12988328 13018624 13540512 18054016 19482492 19527936 25976656 27081024 36108032 38964984 39055872 51953312 54162048 72216064 76306427 77929968 103906624 108324096 152612854 155859936 207813248 216648192 228919281 305225708 311719872 415626496 457838562 610451416 623439744 831252992 915677124 1220902832 1246879488 1831354248 2441805664 2493758976 3662708496 4883611328 7325416992 9767222656 14650833984 19534445312 29301667968 39068890624 58603335936 117206671872