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5465442263200 = 255247971498531
BaseRepresentation
bin100111110001000010110…
…1111101010000010100000
3201100111021001211220202221
41033202011233222002200
51204021211204410300
615342442311320424
71102602516502333
oct117420557520240
921314231756687
105465442263200
1118179767458a7
127432a5680114
1330850980966a
1414c75910661a
159727e53531a
hex4f885bea0a0

5465442263200 has 144 divisors (see below), whose sum is σ = 13766881613184. Its totient is φ = 2117602713600.

The previous prime is 5465442263161. The next prime is 5465442263233. The reversal of 5465442263200 is 23622445645.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2897935 + ... + 4396465.

It is an arithmetic number, because the mean of its divisors is an integer number (95603344536).

Almost surely, 25465442263200 is an apocalyptic number.

5465442263200 is a gapful number since it is divisible by the number (50) 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 5465442263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6883440806592).

5465442263200 is an abundant number, since it is smaller than the sum of its proper divisors (8301439349984).

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

5465442263200 is a wasteful number, since it uses less digits than its factorization.

5465442263200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498695 (or 1498682 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 43.

The spelling of 5465442263200 in words is "five trillion, four hundred sixty-five billion, four hundred forty-two million, two hundred sixty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 97 100 160 188 194 200 235 376 388 400 470 485 752 776 800 940 970 1175 1504 1552 1880 1940 2350 2425 3104 3760 3880 4559 4700 4850 7520 7760 9118 9400 9700 15520 18236 18800 19400 22795 36472 37600 38800 45590 72944 77600 91180 113975 145888 182360 227950 364720 455900 729440 911800 1498531 1823600 2997062 3647200 5994124 7492655 11988248 14985310 23976496 29970620 37463275 47952992 59941240 70430957 74926550 119882480 140861914 145357507 149853100 239764960 281723828 290715014 299706200 352154785 563447656 581430028 599412400 704309570 726787535 1126895312 1162860056 1198824800 1408619140 1453575070 1760773925 2253790624 2325720112 2817238280 2907150140 3521547850 3633937675 4651440224 5634476560 5814300280 6831802829 7043095700 7267875350 11268953120 11628600560 13663605658 14086191400 14535750700 23257201120 27327211316 28172382800 29071501400 34159014145 54654422632 56344765600 58143002800 68318028290 109308845264 116286005600 136636056580 170795070725 218617690528 273272113160 341590141450 546544226320 683180282900 1093088452640 1366360565800 2732721131600 5465442263200