Search a number
-
+
68313372435 = 33571113747969
BaseRepresentation
bin111111100111110010…
…110101011100010011
320112022212122212211000
4333213302311130103
52104401210404220
651214400353043
74635604041060
oct774762653423
9215285585730
1068313372435
1126a761328a0
12112a6015783
136598ba0989
143440a11c67
151b9c4ee390
hexfe7cb5713

68313372435 has 128 divisors (see below), whose sum is σ = 152521574400. Its totient is φ = 28182159360.

The previous prime is 68313372427. The next prime is 68313372443. The reversal of 68313372435 is 53427331386.

68313372435 is a `hidden beast` number, since 6 + 83 + 133 + 7 + 2 + 435 = 666.

It is an interprime number because it is at equal distance from previous prime (68313372427) and next prime (68313372443).

It is not a de Polignac number, because 68313372435 - 23 = 68313372427 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1400131 + ... + 1448099.

It is an arithmetic number, because the mean of its divisors is an integer number (1191574800).

Almost surely, 268313372435 is an apocalyptic number.

68313372435 is an abundant number, since it is smaller than the sum of its proper divisors (84208201965).

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

68313372435 is a wasteful number, since it uses less digits than its factorization.

68313372435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48138 (or 48132 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 68313372435 in words is "sixty-eight billion, three hundred thirteen million, three hundred seventy-two thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 137 165 189 231 297 315 385 411 495 685 693 945 959 1155 1233 1485 1507 2055 2079 2877 3465 3699 4521 4795 6165 7535 8631 10395 10549 13563 14385 18495 22605 25893 31647 40689 43155 47969 52745 67815 94941 129465 143907 158235 203445 239845 284823 335783 431721 474705 527659 719535 1007349 1295163 1424115 1582977 1678915 2158605 2638295 3022047 3693613 4748931 5036745 6475815 6571753 7914885 9066141 11080839 14246793 15110235 18468065 19715259 23744655 32858765 33242517 45330705 46002271 55404195 59145777 71233965 72289283 98576295 99727551 138006813 166212585 177437331 216867849 230011355 295728885 361446415 414020439 498637755 506024981 650603547 690034065 887186655 1084339245 1242061317 1518074943 1951810641 2070102195 2530124905 3253017735 4554224829 6210306585 7590374715 9759053205 13662674487 22771124145 68313372435