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27400845972 = 223191093313331
BaseRepresentation
bin11001100001001101…
…111011101010010100
32121201121112012100010
4121201031323222110
5422104104032342
620330543120220
71660006230213
oct314115735224
977647465303
1027400845972
1110691077155
1253885a3070
132778a5a236
14147d18707a
15aa586429c
hex66137ba94

27400845972 has 96 divisors (see below), whose sum is σ = 68143398400. Its totient is φ = 8545046400.

The previous prime is 27400845961. The next prime is 27400846001. The reversal of 27400845972 is 27954800472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8224347 + ... + 8227677.

Almost surely, 227400845972 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 27400845972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34071699200).

27400845972 is an abundant number, since it is smaller than the sum of its proper divisors (40742552428).

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

27400845972 is a wasteful number, since it uses less digits than its factorization.

27400845972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 27400845972 in words is "twenty-seven billion, four hundred million, eight hundred forty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 109 114 218 228 327 331 436 654 662 993 1308 1324 1986 2071 3331 3972 4142 6213 6289 6662 8284 9993 12426 12578 13324 18867 19986 24852 25156 36079 37734 39972 63289 72158 75468 108237 126578 144316 189867 216474 253156 363079 379734 432948 685501 726158 759468 1089237 1102561 1371002 1452316 2056503 2178474 2205122 2742004 3307683 4113006 4356948 4410244 6615366 6898501 8226012 13230732 13797002 20695503 20948659 27594004 41391006 41897318 62845977 82782012 83794636 120179149 125691954 240358298 251383908 360537447 480716596 721074894 1442149788 2283403831 4566807662 6850211493 9133615324 13700422986 27400845972