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4270921356 = 22313217731697
BaseRepresentation
bin1111111010010001…
…0001011010001100
3102000122111021200110
43332210101122030
532221323440411
61543444400020
7210560142522
oct37644213214
912018437613
104270921356
1118a1907479
129b23a6010
13530aaaa00
142c7318312
1519ee3d2a6
hexfe91168c

4270921356 has 144 divisors (see below), whose sum is σ = 11589135264. Its totient is φ = 1219166208.

The previous prime is 4270921351. The next prime is 4270921381. The reversal of 4270921356 is 6531290724.

4270921356 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4270921351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2515900 + ... + 2517596.

It is an arithmetic number, because the mean of its divisors is an integer number (80480106).

Almost surely, 24270921356 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 4270921356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5794567632).

4270921356 is an abundant number, since it is smaller than the sum of its proper divisors (7318213908).

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

4270921356 is a wasteful number, since it uses less digits than its factorization.

4270921356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 4270921356 is about 65352.2865399521. The cubic root of 4270921356 is about 1622.4594755481.

The spelling of 4270921356 in words is "four billion, two hundred seventy million, nine hundred twenty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 73 78 102 146 156 169 204 219 221 292 338 438 442 507 663 676 876 884 949 1014 1241 1326 1697 1898 2028 2482 2652 2847 2873 3394 3723 3796 4964 5091 5694 5746 6788 7446 8619 10182 11388 11492 12337 14892 16133 17238 20364 22061 24674 28849 32266 34476 37011 44122 48399 49348 57698 64532 66183 74022 86547 88244 96798 115396 123881 132366 148044 173094 193596 209729 247762 264732 286793 346188 371643 375037 419458 495524 573586 629187 743286 750074 838916 860379 1125111 1147172 1258374 1486572 1500148 1610453 1720758 2105977 2250222 2516748 3220906 3441516 4211954 4500444 4831359 4875481 6317931 6441812 8423908 9662718 9750962 12635862 14626443 19325436 19501924 20935889 25271724 27377701 29252886 41871778 54755402 58505772 62807667 82133103 83743556 109510804 125615334 164266206 251230668 328532412 355910113 711820226 1067730339 1423640452 2135460678 4270921356