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5540465376 = 2532174326317
BaseRepresentation
bin1010010100011110…
…01100101011100000
3112022010100210200100
411022033030223200
542321324343001
62313435222400
7254204115165
oct51217145340
915263323610
105540465376
1123934a2706
1210a75a7a00
136a3b112a4
143a7b8c06c
15226614586
hex14a3ccae0

5540465376 has 144 divisors (see below), whose sum is σ = 17071118064. Its totient is φ = 1697697792.

The previous prime is 5540465347. The next prime is 5540465383. The reversal of 5540465376 is 6735640455.

5540465376 is a `hidden beast` number, since 554 + 0 + 4 + 65 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197370 + ... + 223686.

It is an arithmetic number, because the mean of its divisors is an integer number (118549431).

Almost surely, 25540465376 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 5540465376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8535559032).

5540465376 is an abundant number, since it is smaller than the sum of its proper divisors (11530652688).

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

5540465376 is a wasteful number, since it uses less digits than its factorization.

5540465376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26393 (or 26382 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The square root of 5540465376 is about 74434.3024149484. The cubic root of 5540465376 is about 1769.4925903576.

The spelling of 5540465376 in words is "five billion, five hundred forty million, four hundred sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 43 48 51 68 72 86 96 102 129 136 144 153 172 204 258 272 288 306 344 387 408 516 544 612 688 731 774 816 1032 1224 1376 1462 1548 1632 2064 2193 2448 2924 3096 4128 4386 4896 5848 6192 6579 8772 11696 12384 13158 17544 23392 26316 26317 35088 52632 52634 70176 78951 105264 105268 157902 210528 210536 236853 315804 421072 447389 473706 631608 842144 894778 947412 1131631 1263216 1342167 1789556 1894824 2263262 2526432 2684334 3394893 3579112 3789648 4026501 4526524 5368668 6789786 7158224 7579296 8053002 9053048 10184679 10737336 13579572 14316448 16106004 18106096 19237727 20369358 21474672 27159144 32212008 36212192 38475454 40738716 42949344 54318288 57713181 64424016 76950908 81477432 108636576 115426362 128848032 153901816 162954864 173139543 230852724 307803632 325909728 346279086 461705448 615607264 692558172 923410896 1385116344 1846821792 2770232688 5540465376