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11929469046272 = 29438912747939
BaseRepresentation
bin1010110110011000101111…
…0000111100111000000000
31120020110001012122102022222
42231212023300330320000
53030423023033440042
641212153350550212
72340606235545551
oct255461360747000
946213035572288
1011929469046272
11388a2943043a8
121408017068368
13686c3727303b
142d3564674328
1515a4a5dd02d2
hexad98bc3ce00

11929469046272 has 160 divisors (see below), whose sum is σ = 24858723225600. Its totient is φ = 5715080921088.

The previous prime is 11929469046211. The next prime is 11929469046283. The reversal of 11929469046272 is 27264096492911.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248822879 + ... + 248870817.

It is an arithmetic number, because the mean of its divisors is an integer number (155367020160).

Almost surely, 211929469046272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11929469046272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12429361612800).

11929469046272 is an abundant number, since it is smaller than the sum of its proper divisors (12929254179328).

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

11929469046272 is an equidigital number, since it uses as much as digits as its factorization.

11929469046272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48216 (or 48200 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 62.

The spelling of 11929469046272 in words is "eleven trillion, nine hundred twenty-nine billion, four hundred sixty-nine million, forty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 43 64 86 89 127 128 172 178 254 256 344 356 508 512 688 712 1016 1376 1424 2032 2752 2848 3827 4064 5461 5504 5696 7654 8128 10922 11008 11303 11392 15308 16256 21844 22016 22606 22784 30616 32512 43688 45212 45568 47939 61232 65024 87376 90424 95878 122464 174752 180848 191756 244928 349504 361696 383512 486029 489856 699008 723392 767024 972058 979712 1398016 1446784 1534048 1944116 1959424 2061377 2796032 2893568 3068096 3888232 4122754 4266571 5787136 6088253 6136192 7776464 8245508 8533142 12176506 12272384 15552928 16491016 17066284 24353012 24544768 31105856 32982032 34132568 48706024 62211712 65964064 68265136 97412048 124423424 131928128 136530272 183462553 194824096 248846848 261794879 263856256 273060544 366925106 389648192 523589758 527712512 541854517 546121088 733850212 779296384 1047179516 1055425024 1083709034 1092242176 1467700424 1558592768 2094359032 2167418068 2184484352 2935400848 3117185536 4188718064 4334836136 5870801696 8377436128 8669672272 11741603392 16754872256 17339344544 23299744231 23483206784 33509744512 34678689088 46599488462 46966413568 67019489024 69357378176 93198976924 93932827136 134038978048 138714756352 186397953848 277429512704 372795907696 745591815392 1491183630784 2982367261568 5964734523136 11929469046272