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107367438054276 = 223461294372
BaseRepresentation
bin11000011010011001101110…
…000000010111001110000100
3112002011020010100210122110000
4120122121232000113032010
5103033102003120214101
61020203530425001300
731421020130266221
oct3032315600271604
9462136110718400
10107367438054276
113123530279a074
1210060641923230
1347ba9240098aa
141c7287c828948
15c62d17dc8486
hex61a66e017384

107367438054276 has 135 divisors (see below), whose sum is σ = 285386670375807. Its totient is φ = 35198708448960.

The previous prime is 107367438054259. The next prime is 107367438054293. The reversal of 107367438054276 is 672450834763701.

The square root of 107367438054276 is 10361826.

It is a perfect power (a square), and thus also a powerful number.

107367438054276 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 6 + 7 + 4 + 3 + 80 + 542 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (107367438054259) and next prime (107367438054293).

It can be written as a sum of positive squares in 4 ways, for example, as 27797041844100 + 79570396210176 = 5272290^2 + 8920224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11377280230 + ... + 11377289666.

Almost surely, 2107367438054276 is an apocalyptic number.

107367438054276 is the 10361826-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107367438054276

107367438054276 is an abundant number, since it is smaller than the sum of its proper divisors (178019232321531).

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

107367438054276 is an frugal number, since it uses more digits than its factorization.

107367438054276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19012 (or 9503 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 107367438054276 in words is "one hundred seven trillion, three hundred sixty-seven billion, four hundred thirty-eight million, fifty-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 1098 1647 2196 3294 3721 4941 6588 7442 9437 9882 11163 14884 18874 19764 22326 28311 33489 37748 44652 56622 66978 84933 100467 113244 133956 169866 200934 254799 301401 339732 401868 509598 575657 602802 764397 1019196 1151314 1205604 1528794 1726971 2302628 3057588 3453942 5180913 6907884 10361826 15542739 20723652 31085478 35115077 46628217 62170956 70230154 89056969 93256434 105345231 140460308 178113938 186512868 210690462 267170907 316035693 356227876 421380924 534341814 632071386 801512721 948107079 1068683628 1264142772 1603025442 1896214158 2404538163 2844321237 3206050884 3792428316 4809076326 5432475109 5688642474 7213614489 9618152652 10864950218 11377284948 14427228978 16297425327 21729900436 28854457956 32594850654 48892275981 65189701308 97784551962 146676827943 195569103924 293353655886 331380981649 440030483829 586707311772 662761963298 880060967658 994142944947 1325523926596 1760121935316 1988285889894 2982428834841 3976571779788 5964857669682 8947286504523 11929715339364 17894573009046 26841859513569 35789146018092 53683719027138 107367438054276