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202415555420 = 225132397150847
BaseRepresentation
bin1011110010000011101…
…0000100001101011100
3201100110200120121120222
42330200322010031130
511304021340233140
6232553255500512
720424021555431
oct2744072041534
9640420517528
10202415555420
11789313387a1
1233290687738
131611a8c3200
149b22c2db88
1553ea56e5b5
hex2f20e8435c

202415555420 has 72 divisors (see below), whose sum is σ = 461448255744. Its totient is φ = 74549299968.

The previous prime is 202415555393. The next prime is 202415555437. The reversal of 202415555420 is 24555514202.

202415555420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 1266437 + ... + 1417283.

It is an arithmetic number, because the mean of its divisors is an integer number (6409003552).

Almost surely, 2202415555420 is an apocalyptic number.

202415555420 is a gapful number since it is divisible by the number (20) 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 202415555420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230724127872).

202415555420 is an abundant number, since it is smaller than the sum of its proper divisors (259032700324).

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

202415555420 is a wasteful number, since it uses less digits than its factorization.

202415555420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151279 (or 151264 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 35.

The spelling of 202415555420 in words is "two hundred two billion, four hundred fifteen million, five hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 397 676 794 845 1588 1690 1985 3380 3970 5161 7940 10322 20644 25805 51610 67093 103220 134186 150847 268372 301694 335465 603388 670930 754235 1341860 1508470 1961011 3016940 3922022 7844044 9805055 19610110 25493143 39220220 50986286 59886259 101972572 119772518 127465715 239545036 254931430 299431295 509862860 598862590 778521367 1197725180 1557042734 3114085468 3892606835 7785213670 10120777771 15570427340 20241555542 40483111084 50603888855 101207777710 202415555420