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172129607419 = 7211231791583
BaseRepresentation
bin1010000001001110111…
…0010101111011111011
3121110022000020001022011
42200103232111323323
510310010134414134
6211024130510351
715302350344100
oct2402356257373
9543260201264
10172129607419
1166aaa748800
1229439a353b7
1313302210313
14848c82caa7
1547267b0264
hex2813b95efb

172129607419 has 36 divisors (see below), whose sum is σ = 220786860672. Its totient is φ = 133702393440.

The previous prime is 172129607389. The next prime is 172129607509. The reversal of 172129607419 is 914706921271.

It is not a de Polignac number, because 172129607419 - 29 = 172129606907 is a prime.

It is a super-4 number, since 4×1721296074194 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (172129667419) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1833702 + ... + 1925284.

It is an arithmetic number, because the mean of its divisors is an integer number (6132968352).

Almost surely, 2172129607419 is an apocalyptic number.

172129607419 is a deficient number, since it is larger than the sum of its proper divisors (48657253253).

172129607419 is a wasteful number, since it uses less digits than its factorization.

172129607419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91936 (or 91918 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 49.

The spelling of 172129607419 in words is "one hundred seventy-two billion, one hundred twenty-nine million, six hundred seven thousand, four hundred nineteen".

Divisors: 1 7 11 49 77 121 317 539 847 2219 3487 5929 15533 24409 38357 91583 170863 268499 641081 1007413 1879493 4487567 7051891 11081543 29031811 49363237 77570801 203222677 319349921 542995607 1422558739 2235449447 3512849131 15648146129 24589943917 172129607419