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5478634686750 = 235337617319981
BaseRepresentation
bin100111110111001100000…
…0100110000100100011110
3201101202022110201110201120
41033232120010300210132
51204230220434434000
615352503334551410
71103550450320511
oct117563004604436
921352273643646
105478634686750
1118225264a8985
12745967808566
1330982ca11c44
1414d24b240d78
15977a27e66a0
hex4fb9813091e

5478634686750 has 128 divisors (see below), whose sum is σ = 14067064043136. Its totient is φ = 1419175296000.

The previous prime is 5478634686731. The next prime is 5478634686757. The reversal of 5478634686750 is 576864368745.

It is a super-3 number, since 3×54786346867503 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5478634686757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16961760 + ... + 17281740.

It is an arithmetic number, because the mean of its divisors is an integer number (109898937837).

Almost surely, 25478634686750 is an apocalyptic number.

5478634686750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5478634686750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033532021568).

5478634686750 is an abundant number, since it is smaller than the sum of its proper divisors (8588429356386).

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

5478634686750 is a wasteful number, since it uses less digits than its factorization.

5478634686750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320655 (or 320645 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 69.

The spelling of 5478634686750 in words is "five trillion, four hundred seventy-eight billion, six hundred thirty-four million, six hundred eighty-six thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 125 150 185 222 250 370 375 555 617 750 925 1110 1234 1850 1851 2775 3085 3702 4625 5550 6170 9250 9255 13875 15425 18510 22829 27750 30850 45658 46275 68487 77125 92550 114145 136974 154250 228290 231375 319981 342435 462750 570725 639962 684870 959943 1141450 1599905 1712175 1919886 2853625 3199810 3424350 4799715 5707250 7999525 8560875 9599430 11839297 15999050 17121750 23678594 23998575 35517891 39997625 47997150 59196485 71035782 79995250 118392970 119992875 177589455 197428277 239985750 295982425 355178910 394856554 591964850 592284831 887947275 987141385 1184569662 1479912125 1775894550 1974282770 2959824250 2961424155 4439736375 4935706925 5922848310 7304846249 8879472750 9871413850 14609692498 14807120775 21914538747 24678534625 29614241550 36524231245 43829077494 49357069250 73048462490 74035603875 109572693735 148071207750 182621156225 219145387470 365242312450 547863468675 913105781125 1095726937350 1826211562250 2739317343375 5478634686750