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5155023360 = 29351993373
BaseRepresentation
bin1001100110100001…
…10110101000000000
3111022021002022122010
410303100312220000
541024141221420
62211310012520
7241513655424
oct46320665000
914267068563
105155023360
112205970393
12bba4a7140
13641cc90a6
1436c8d6b84
152028794e0
hex133436a00

5155023360 has 160 divisors (see below), whose sum is σ = 16567689600. Its totient is φ = 1367359488.

The previous prime is 5155023359. The next prime is 5155023371. The reversal of 5155023360 is 633205515.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×51550233603 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1526634 + ... + 1530006.

It is an arithmetic number, because the mean of its divisors is an integer number (103548060).

Almost surely, 25155023360 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 5155023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8283844800).

5155023360 is an abundant number, since it is smaller than the sum of its proper divisors (11412666240).

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

5155023360 is a wasteful number, since it uses less digits than its factorization.

5155023360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 5155023360 is about 71798.4913490527. The cubic root of 5155023360 is about 1727.4688010573.

Adding to 5155023360 its reverse (633205515), we get a palindrome (5788228875).

The spelling of 5155023360 in words is "five billion, one hundred fifty-five million, twenty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 199 240 256 320 384 398 480 512 597 640 768 796 960 995 1194 1280 1536 1592 1920 1990 2388 2560 2985 3184 3373 3840 3980 4776 5970 6368 6746 7680 7960 9552 10119 11940 12736 13492 15920 16865 19104 20238 23880 25472 26984 31840 33730 38208 40476 47760 50595 50944 53968 63680 67460 76416 80952 95520 101190 101888 107936 127360 134920 152832 161904 191040 202380 215872 254720 269840 305664 323808 382080 404760 431744 509440 539680 647616 671227 764160 809520 863488 1079360 1295232 1342454 1528320 1619040 1726976 2013681 2158720 2590464 2684908 3238080 3356135 4027362 4317440 5180928 5369816 6476160 6712270 8054724 8634880 10068405 10739632 12952320 13424540 16109448 20136810 21479264 25904640 26849080 32218896 40273620 42958528 53698160 64437792 80547240 85917056 107396320 128875584 161094480 171834112 214792640 257751168 322188960 343668224 429585280 515502336 644377920 859170560 1031004672 1288755840 1718341120 2577511680 5155023360