Search a number
-
+
380263612455 = 325411093834937
BaseRepresentation
bin1011000100010010111…
…10100100000000100111
31100100112020002000001100
411202021132210000213
522212234441044310
6450405104531143
736321200242356
oct5421136440047
91310466060040
10380263612455
111372a5994311
1261845620ab3
1329b2176100c
1414594cdb99d
159d58d9eec0
hex58897a4027

380263612455 has 96 divisors (see below), whose sum is σ = 683311749120. Its totient is φ = 195494031360.

The previous prime is 380263612453. The next prime is 380263612483. The reversal of 380263612455 is 554216362083.

380263612455 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 636 + 1 + 2 + 4 + 5 + 5 = 666.

It is not a de Polignac number, because 380263612455 - 21 = 380263612453 is a prime.

It is a super-2 number, since 2×3802636124552 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 380263612455.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380263612453) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77020747 + ... + 77025683.

It is an arithmetic number, because the mean of its divisors is an integer number (7117830720).

Almost surely, 2380263612455 is an apocalyptic number.

380263612455 is a deficient number, since it is larger than the sum of its proper divisors (303048136665).

380263612455 is a wasteful number, since it uses less digits than its factorization.

380263612455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5481 (or 5478 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 380263612455 in words is "three hundred eighty billion, two hundred sixty-three million, six hundred twelve thousand, four hundred fifty-five".

Divisors: 1 3 5 9 15 41 45 109 123 205 327 369 383 545 615 981 1149 1635 1845 1915 3447 4469 4905 4937 5745 13407 14811 15703 17235 22345 24685 40221 41747 44433 47109 67035 74055 78515 125241 141327 201105 202417 208735 222165 235545 375723 538133 607251 626205 706635 1012085 1614399 1711627 1821753 1878615 1890871 2690665 3036255 4843197 5134881 5672613 8071995 8558135 9108765 9454355 15404643 17017839 22063453 24215985 25674405 28363065 66190359 77023215 77525711 85089195 110317265 198571077 206104939 232577133 330951795 387628555 618314817 697731399 992855385 1030524695 1162885665 1854944451 3091574085 3488656995 8450302499 9274722255 25350907497 42251512495 76052722491 126754537485 380263612455