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472188070431 = 34711431760641
BaseRepresentation
bin1101101111100001001…
…10100010101000011111
31200010210121011022020000
412313300212202220133
530214020121223211
61000530433025343
746054155242520
oct6676046425037
91603717138200
10472188070431
11172287946140
127761a9b5253
13356b119b40c
1418bd562c847
15c43916b656
hex6df09a2a1f

472188070431 has 80 divisors (see below), whose sum is σ = 899871168768. Its totient is φ = 239587891200.

The previous prime is 472188070391. The next prime is 472188070493. The reversal of 472188070431 is 134070881274.

472188070431 is a `hidden beast` number, since 4 + 72 + 1 + 8 + 80 + 70 + 431 = 666.

It is not a de Polignac number, because 472188070431 - 214 = 472188054047 is a prime.

It is a super-2 number, since 2×4721880704312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472188070631) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 612130 + ... + 1148511.

Almost surely, 2472188070431 is an apocalyptic number.

472188070431 is a deficient number, since it is larger than the sum of its proper divisors (427683098337).

472188070431 is a wasteful number, since it uses less digits than its factorization.

472188070431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760714 (or 1760705 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 472188070431 in words is "four hundred seventy-two billion, one hundred eighty-eight million, seventy thousand, four hundred thirty-one".

Divisors: 1 3 7 9 11 21 27 33 43 63 77 81 99 129 189 231 297 301 387 473 567 693 891 903 1161 1419 2079 2709 3311 3483 4257 6237 8127 9933 12771 24381 29799 38313 89397 268191 1760641 5281923 12324487 15845769 19367051 36973461 47537307 58101153 75707563 110920383 135569357 142611921 174303459 227122689 332761149 406708071 522910377 529952941 681368067 832783193 998283447 1220124213 1568731131 1589858823 2044104201 2498349579 3660372639 4769576469 5829482351 6132312603 7495048737 10981117917 14308729407 17488447053 22485146211 42926188221 52465341159 67455438633 157396023477 472188070431