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381724725720 = 2335131249195913
BaseRepresentation
bin1011000111000001001…
…00010001000111011000
31100111022001102020122110
411203200210101013120
522223233012210340
6451210101352320
736402331426662
oct5434044210730
91314261366573
10381724725720
11137985724338
1261b92a086a0
1329cc5389390
1414692d9b532
159de22b7680
hex58e09111d8

381724725720 has 128 divisors (see below), whose sum is σ = 1234258200000. Its totient is φ = 93887299584.

The previous prime is 381724725709. The next prime is 381724725737. The reversal of 381724725720 is 27527427183.

It is a self number, because there is not a number n which added to its sum of digits gives 381724725720.

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, 1850484 + ... + 2046396.

Almost surely, 2381724725720 is an apocalyptic number.

381724725720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381724725720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617129100000).

381724725720 is an abundant number, since it is smaller than the sum of its proper divisors (852533474280).

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

381724725720 is a wasteful number, since it uses less digits than its factorization.

381724725720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197189 (or 197185 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The spelling of 381724725720 in words is "three hundred eighty-one billion, seven hundred twenty-four million, seven hundred twenty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1249 1560 2498 3747 4996 6245 7494 9992 12490 14988 16237 18735 24980 29976 32474 37470 48711 49960 64948 74940 81185 97422 129896 149880 162370 194844 195913 243555 324740 389688 391826 487110 587739 649480 783652 974220 979565 1175478 1567304 1948440 1959130 2350956 2546869 2938695 3918260 4701912 5093738 5877390 7640607 7836520 10187476 11754780 12734345 15281214 20374952 23509560 25468690 30562428 38203035 50937380 61124856 76406070 101874760 152812140 244695337 305624280 489390674 734086011 978781348 1223476685 1468172022 1957562696 2446953370 2936344044 3181039381 3670430055 4893906740 5872688088 6362078762 7340860110 9543118143 9787813480 12724157524 14681720220 15905196905 19086236286 25448315048 29363440440 31810393810 38172472572 47715590715 63620787620 76344945144 95431181430 127241575240 190862362860 381724725720