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1252311401620 = 22529131122913411
BaseRepresentation
bin10010001110010011100…
…100111000010010010100
311102201102201211122112201
4102032103210320102110
5131004213204322440
62355145351254244
7156322305165016
oct22162344702224
94381381748481
101252311401620
11443114158414
1218285867a384
13911281923a6
144487dc141b6
152289745519a
hex12393938494

1252311401620 has 96 divisors (see below), whose sum is σ = 2743741123200. Its totient is φ = 479533017600.

The previous prime is 1252311401609. The next prime is 1252311401647. The reversal of 1252311401620 is 261041132521.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 93372715 + ... + 93386125.

It is an arithmetic number, because the mean of its divisors is an integer number (28580636700).

Almost surely, 21252311401620 is an apocalyptic number.

1252311401620 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 1252311401620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371870561600).

1252311401620 is an abundant number, since it is smaller than the sum of its proper divisors (1491429721580).

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

1252311401620 is a wasteful number, since it uses less digits than its factorization.

1252311401620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14809 (or 14807 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 1252311401620 in words is "one trillion, two hundred fifty-two billion, three hundred eleven million, four hundred one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 131 145 262 290 524 580 655 1229 1310 2458 2620 3799 4916 6145 7598 12290 13411 15196 18995 24580 26822 35641 37990 53644 67055 71282 75980 134110 142564 160999 178205 268220 321998 356410 388919 643996 712820 777838 804995 1555676 1609990 1756841 1944595 3219980 3513682 3889190 4668971 7027364 7778380 8784205 9337942 16482119 17568410 18675884 23344855 32964238 35136820 46689710 50948389 65928476 82410595 93379420 101896778 164821190 203793556 254741945 329642380 477981451 509483890 955962902 1018967780 1911925804 2159157589 2389907255 4318315178 4779814510 8636630356 9559629020 10795787945 21591575890 43183151780 62615570081 125231140162 250462280324 313077850405 626155700810 1252311401620