Search a number
-
+
378227625039432 = 23337416101232821
BaseRepresentation
bin101010111111111101111101…
…1001111000001011001001000
31211121012012121111121211222000
41111333323323033001121020
5344033340134002230212
63420231212222231000
7142445021066200050
oct12577737317013110
91747165544554860
10378227625039432
11aa573486a62a83
123650706a425460
13133079343573cc
146958459884560
152dad87dadb1dc
hex157fefb3c1648

378227625039432 has 128 divisors (see below), whose sum is σ = 1230008536915200. Its totient is φ = 105429303129600.

The previous prime is 378227625039413. The next prime is 378227625039457. The reversal of 378227625039432 is 234930526722873.

378227625039432 is a `hidden beast` number, since 3 + 7 + 8 + 2 + 2 + 7 + 6 + 2 + 503 + 94 + 32 = 666.

It is a super-2 number, since 2×3782276250394322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 378227625039432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3050554419 + ... + 3050678402.

It is an arithmetic number, because the mean of its divisors is an integer number (9609441694650).

Almost surely, 2378227625039432 is an apocalyptic number.

It is an amenable number.

378227625039432 is an abundant number, since it is smaller than the sum of its proper divisors (851780911875768).

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

378227625039432 is a wasteful number, since it uses less digits than its factorization.

378227625039432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6101232884 (or 6101232874 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 378227625039432 in words is "three hundred seventy-eight trillion, two hundred twenty-seven billion, six hundred twenty-five million, thirty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 189 216 246 252 287 328 369 378 492 504 574 738 756 861 984 1107 1148 1476 1512 1722 2214 2296 2583 2952 3444 4428 5166 6888 7749 8856 10332 15498 20664 30996 61992 6101232821 12202465642 18303698463 24404931284 36607396926 42708629747 48809862568 54911095389 73214793852 85417259494 109822190778 128125889241 146429587704 164733286167 170834518988 219644381556 250150545661 256251778482 329466572334 341669037976 384377667723 439288763112 500301091322 512503556964 658933144668 750451636983 768755335446 1000602182644 1025007113928 1153133003169 1317866289336 1500903273966 1537510670892 1751053819627 2001204365288 2251354910949 2306266006338 3001806547932 3075021341784 3502107639254 4502709821898 4612532012676 5253161458881 6003613095864 6754064732847 7004215278508 9005419643796 9225064025352 10506322917762 13508129465694 14008430557016 15759484376643 18010839287592 21012645835524 27016258931388 31518968753286 42025291671048 47278453129929 54032517862776 63037937506572 94556906259858 126075875013144 189113812519716 378227625039432