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67813611048 = 23331773252983
BaseRepresentation
bin111111001010000000…
…011001011000101000
320111001001021101002000
4333022000121120220
52102340241023143
651053025011000
74620325116561
oct771200313050
9214031241060
1067813611048
112683a019757
1211186783a60
1365194a0391
1433d44bd168
151b6d6d1bd3
hexfca019628

67813611048 has 128 divisors (see below), whose sum is σ = 202184812800. Its totient is φ = 20983339008.

The previous prime is 67813611023. The next prime is 67813611059. The reversal of 67813611048 is 84011631876.

It is a junction number, because it is equal to n+sod(n) for n = 67813610994 and 67813611012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141565 + ... + 394547.

It is an arithmetic number, because the mean of its divisors is an integer number (1579568850).

Almost surely, 267813611048 is an apocalyptic number.

67813611048 is a gapful number since it is divisible by the number (68) 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 67813611048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101092406400).

67813611048 is an abundant number, since it is smaller than the sum of its proper divisors (134371201752).

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

67813611048 is a wasteful number, since it uses less digits than its factorization.

67813611048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253088 (or 253078 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 67813611048 in words is "sixty-seven billion, eight hundred thirteen million, six hundred eleven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 73 102 108 136 146 153 204 216 219 292 306 408 438 459 584 612 657 876 918 1224 1241 1314 1752 1836 1971 2482 2628 3672 3723 3942 4964 5256 7446 7884 9928 11169 14892 15768 22338 29784 33507 44676 67014 89352 134028 252983 268056 505966 758949 1011932 1517898 2023864 2276847 3035796 4300711 4553694 6071592 6830541 8601422 9107388 12902133 13661082 17202844 18214776 18467759 25804266 27322164 34405688 36935518 38706399 51608532 54644328 55403277 73871036 77412798 103217064 110806554 116119197 147742072 154825596 166209831 221613108 232238394 309651192 313951903 332419662 443226216 464476788 498629493 627903806 664839324 928953576 941855709 997258986 1255807612 1329678648 1883711418 1994517972 2511615224 2825567127 3767422836 3989035944 5651134254 7534845672 8476701381 11302268508 16953402762 22604537016 33906805524 67813611048