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1125857060320 = 25561811142237
BaseRepresentation
bin10000011000100010010…
…011110110010111100000
310222122000220200112021111
4100120202103312113200
5121421223401412240
62221113412033104
7144224534054026
oct20304223662740
93878026615244
101125857060320
113a4522a61133
12162247302794
1382224a52575
143c6c55d0716
151e445a1c1ea
hex106224f65e0

1125857060320 has 96 divisors (see below), whose sum is σ = 2706793691616. Its totient is φ = 442410854400.

The previous prime is 1125857060311. The next prime is 1125857060327. The reversal of 1125857060320 is 230607585211.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125857060327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7844242 + ... + 7986478.

It is an arithmetic number, because the mean of its divisors is an integer number (28195767621).

Almost surely, 21125857060320 is an apocalyptic number.

1125857060320 is a gapful number since it is divisible by the number (10) 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 1125857060320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353396845808).

1125857060320 is an abundant number, since it is smaller than the sum of its proper divisors (1580936631296).

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

1125857060320 is a wasteful number, since it uses less digits than its factorization.

1125857060320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143124 (or 143116 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 1125857060320 in words is "one trillion, one hundred twenty-five billion, eight hundred fifty-seven million, sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 811 976 1220 1622 1952 2440 3244 4055 4880 6488 8110 9760 12976 16220 25952 32440 49471 64880 98942 129760 142237 197884 247355 284474 395768 494710 568948 711185 791536 989420 1137896 1422370 1583072 1978840 2275792 2844740 3957680 4551584 5689480 7915360 8676457 11378960 17352914 22757920 34705828 43382285 69411656 86764570 115354207 138823312 173529140 230708414 277646624 347058280 461416828 576771035 694116560 922833656 1153542070 1388233120 1845667312 2307084140 3691334624 4614168280 7036606627 9228336560 14073213254 18456673120 28146426508 35183033135 56292853016 70366066270 112585706032 140732132540 225171412064 281464265080 562928530160 1125857060320