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4648022200240 = 245532234915837
BaseRepresentation
bin100001110100011001110…
…1101100100111110110000
3121110100100122210021211021
41003220303231210332300
51102123122140401430
613515134422425224
7656544215553616
oct103506355447660
917410318707737
104648022200240
1115322403a3a61
12630999292214
132793ca822333
14120d733976b6
1580d8bc4307a
hex43a33b64fb0

4648022200240 has 80 divisors (see below), whose sum is σ = 11059927619328. Its totient is φ = 1815949145088.

The previous prime is 4648022200231. The next prime is 4648022200307. The reversal of 4648022200240 is 420022208464.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×46480222002402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4648022200196 and 4648022200205.

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, 1512399 + ... + 3403438.

Almost surely, 24648022200240 is an apocalyptic number.

4648022200240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4648022200240 is an abundant number, since it is smaller than the sum of its proper divisors (6411905419088).

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

4648022200240 is a wasteful number, since it uses less digits than its factorization.

4648022200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4916126 (or 4916120 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

The spelling of 4648022200240 in words is "four trillion, six hundred forty-eight billion, twenty-two million, two hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 223 265 424 446 530 848 892 1060 1115 1784 2120 2230 3568 4240 4460 8920 11819 17840 23638 47276 59095 94552 118190 189104 236380 472760 945520 4915837 9831674 19663348 24579185 39326696 49158370 78653392 98316740 196633480 260539361 393266960 521078722 1042157444 1096231651 1302696805 2084314888 2192463302 2605393610 4168629776 4384926604 5210787220 5481158255 8769853208 10421574440 10962316510 17539706416 20843148880 21924633020 43849266040 58100277503 87698532080 116200555006 232401110012 290501387515 464802220024 581002775030 929604440048 1162005550060 2324011100120 4648022200240