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5725373600480 = 255371013395443
BaseRepresentation
bin101001101010000101011…
…0111000001001011100000
3202021100012010111222110212
41103110022313001023200
51222301031120203410
620102111134113252
71130434044430232
oct123241267011340
922240163458425
105725373600480
111908132156806
1278574804b828
13326b92294a91
1415b1768c6252
159dde4197b05
hex5350adc12e0

5725373600480 has 96 divisors (see below), whose sum is σ = 13893284480544. Its totient is φ = 2228010264576.

The previous prime is 5725373600449. The next prime is 5725373600519. The reversal of 5725373600480 is 840063735275.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59939639 + ... + 60035081.

It is an arithmetic number, because the mean of its divisors is an integer number (144721713339).

Almost surely, 25725373600480 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 5725373600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6946642240272).

5725373600480 is an abundant number, since it is smaller than the sum of its proper divisors (8167910880064).

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

5725373600480 is a wasteful number, since it uses less digits than its factorization.

5725373600480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105628 (or 105620 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 50.

The spelling of 5725373600480 in words is "five trillion, seven hundred twenty-five billion, three hundred seventy-three million, six hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 10133 20266 40532 50665 81064 95443 101330 162128 190886 202660 324256 374921 381772 405320 477215 749842 763544 810640 954430 1499684 1527088 1621280 1874605 1908860 2999368 3054176 3531391 3749210 3817720 5998736 7062782 7498420 7635440 11997472 14125564 14996840 15270880 17656955 28251128 29993680 35313910 56502256 59987360 70627820 113004512 141255640 282511280 565022560 967123919 1934247838 3868495676 4835619595 7736991352 9671239190 15473982704 19342478380 30947965408 35783585003 38684956760 71567170006 77369913520 143134340012 154739827040 178917925015 286268680024 357835850030 572537360048 715671700060 1145074720096 1431343400120 2862686800240 5725373600480