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4428611892960 = 253531297621767
BaseRepresentation
bin100000001110001110111…
…0101101011011011100000
3120200101000120120211102020
41000130131311223123200
51040024244121033320
613230250510221440
7634646062662513
oct100343565533340
916611016524366
104428611892960
111458188a616a2
125b63651b4880
13261802055748
141144bb452d7a
157a2e96d6940
hex4071dd6b6e0

4428611892960 has 96 divisors (see below), whose sum is σ = 14400131622912. Its totient is φ = 1142867581440.

The previous prime is 4428611892953. The next prime is 4428611892961. The reversal of 4428611892960 is 692981168244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×44286118929602 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4428611892894 and 4428611892903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4428611892961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148796004 + ... + 148825763.

It is an arithmetic number, because the mean of its divisors is an integer number (150001371072).

Almost surely, 24428611892960 is an apocalyptic number.

4428611892960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4428611892960 is an abundant number, since it is smaller than the sum of its proper divisors (9971519729952).

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

4428611892960 is a wasteful number, since it uses less digits than its factorization.

4428611892960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297621816 (or 297621808 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 4428611892960 in words is "four trillion, four hundred twenty-eight billion, six hundred eleven million, eight hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 297621767 595243534 892865301 1190487068 1488108835 1785730602 2380974136 2976217670 3571461204 4464326505 4761948272 5952435340 7142922408 8928653010 9226274777 9523896544 11904870680 14285844816 17857306020 18452549554 23809741360 27678824331 28571689632 35714612040 36905099108 46131373885 47619482720 55357648662 71429224080 73810198216 92262747770 110715297324 138394121655 142858448160 147620396432 184525495540 221430594648 276788243310 295240792864 369050991080 442861189296 553576486620 738101982160 885722378592 1107152973240 1476203964320 2214305946480 4428611892960