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71381465520 = 2435312309493
BaseRepresentation
bin100001001111010101…
…0101011100110110000
320211020200211011022020
41002132222223212300
52132142123344040
652443040311440
75104620305631
oct1023652534660
9224220734266
1071381465520
11282aaa81612
1211a01612580
136967706a81
1436522a1888
151ccba43cd0
hex109eaab9b0

71381465520 has 120 divisors (see below), whose sum is σ = 228651691248. Its totient is φ = 18420963840.

The previous prime is 71381465453. The next prime is 71381465521. The reversal of 71381465520 is 2556418317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (71381465521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75894 + ... + 385386.

Almost surely, 271381465520 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 71381465520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114325845624).

71381465520 is an abundant number, since it is smaller than the sum of its proper divisors (157270225728).

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

71381465520 is a wasteful number, since it uses less digits than its factorization.

71381465520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309571 (or 309534 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 71381465520 in words is "seventy-one billion, three hundred eighty-one million, four hundred sixty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 961 1240 1488 1860 1922 2480 2883 3720 3844 4805 5766 7440 7688 9610 11532 14415 15376 19220 23064 28830 38440 46128 57660 76880 115320 230640 309493 618986 928479 1237972 1547465 1856958 2475944 3094930 3713916 4642395 4951888 6189860 7427832 9284790 9594283 12379720 14855664 18569580 19188566 24759440 28782849 37139160 38377132 47971415 57565698 74278320 76754264 95942830 115131396 143914245 153508528 191885660 230262792 287828490 297422773 383771320 460525584 575656980 594845546 767542640 892268319 1151313960 1189691092 1487113865 1784536638 2302627920 2379382184 2974227730 3569073276 4461341595 4758764368 5948455460 7138146552 8922683190 11896910920 14276293104 17845366380 23793821840 35690732760 71381465520