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1004425501520 = 245719411122963
BaseRepresentation
bin11101001110111000110…
…11001101101101010000
310120000121010210012021202
432213130123031231100
5112424030412022040
62045232100210332
7132365412615560
oct16473433155520
93500533705252
101004425501520
11357a7a012771
121427b80999a8
13739420ba0ac
14368860bcda0
151b1da03b015
hexe9dc6cdb50

1004425501520 has 160 divisors (see below), whose sum is σ = 2810176327680. Its totient is φ = 326155921920.

The previous prime is 1004425501421. The next prime is 1004425501531. The reversal of 1004425501520 is 251055244001.

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, 43729559 + ... + 43752521.

It is an arithmetic number, because the mean of its divisors is an integer number (17563602048).

Almost surely, 21004425501520 is an apocalyptic number.

1004425501520 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 1004425501520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405088163840).

1004425501520 is an abundant number, since it is smaller than the sum of its proper divisors (1805750826160).

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

1004425501520 is a wasteful number, since it uses less digits than its factorization.

1004425501520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27113 (or 27107 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The spelling of 1004425501520 in words is "one trillion, four billion, four hundred twenty-five million, five hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 4111 5320 8222 10640 16444 20555 22963 28777 32888 41110 45926 57554 65776 78109 82220 91852 114815 115108 143885 156218 160741 164440 183704 229630 230216 287770 312436 321482 328880 367408 390545 436297 459260 460432 546763 575540 624872 642964 781090 803705 872594 918520 1093526 1151080 1249744 1285928 1562180 1607410 1745188 1837040 2181485 2187052 2302160 2571856 2733815 3054079 3124360 3214820 3490376 4362970 4374104 5467630 6108158 6248720 6429640 6980752 8725940 8748208 10935260 12216316 12859280 15270395 17451880 21870520 24432632 30540790 34903760 43741040 48865264 61081580 94400893 122163160 188801786 244326320 377603572 472004465 660806251 755207144 944008930 1321612502 1510414288 1793616967 1888017860 2643225004 3304031255 3587233934 3776035720 5286450008 6608062510 7174467868 7552071440 8968084835 10572900016 12555318769 13216125020 14348935736 17936169670 25110637538 26432250040 28697871472 35872339340 50221275076 52864500080 62776593845 71744678680 100442550152 125553187690 143489357360 200885100304 251106375380 502212750760 1004425501520