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3750125580 = 2233561311329
BaseRepresentation
bin1101111110000110…
…0110000000001100
3100200100112010012000
43133201212000030
530140013004310
61420042112300
7161634353505
oct33741460014
910610463160
103750125580
111654936943
12887aab690
13479c24226
142780abbac
1516e3684c0
hexdf86600c

3750125580 has 96 divisors (see below), whose sum is σ = 11687121600. Its totient is φ = 998313984.

The previous prime is 3750125569. The next prime is 3750125581. The reversal of 3750125580 is 855210573.

3750125580 is a `hidden beast` number, since 3 + 7 + 50 + 1 + 25 + 580 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3750125581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325356 + ... + 336684.

It is an arithmetic number, because the mean of its divisors is an integer number (121740850).

Almost surely, 23750125580 is an apocalyptic number.

3750125580 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 3750125580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5843560800).

3750125580 is an abundant number, since it is smaller than the sum of its proper divisors (7936996020).

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

3750125580 is a wasteful number, since it uses less digits than its factorization.

3750125580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11960 (or 11952 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 3750125580 is about 61238.2689174016. The cubic root of 3750125580 is about 1553.6335952837.

The spelling of 3750125580 in words is "three billion, seven hundred fifty million, one hundred twenty-five thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 613 1226 1839 2452 3065 3678 5517 6130 7356 9195 11034 11329 12260 16551 18390 22068 22658 27585 33102 33987 36780 45316 55170 56645 66204 67974 82755 101961 110340 113290 135948 165510 169935 203922 226580 305883 331020 339870 407844 509805 611766 679740 1019610 1223532 1529415 2039220 3058830 6117660 6944677 13889354 20834031 27778708 34723385 41668062 62502093 69446770 83336124 104170155 125004186 138893540 187506279 208340310 250008372 312510465 375012558 416680620 625020930 750025116 937531395 1250041860 1875062790 3750125580