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106078462650 = 2345279331547
BaseRepresentation
bin110001011001011000…
…1001110001010111010
3101010210210100020110000
41202302301032022322
53214222041301100
6120422021333430
710443503024646
oct1426261161272
9333723306400
10106078462650
1140a95588056
1218685567276
13a006c1abc4
1451c4455c26
152b5cbc0900
hex18b2c4e2ba

106078462650 has 120 divisors (see below), whose sum is σ = 298472771520. Its totient is φ = 27929435040.

The previous prime is 106078462643. The next prime is 106078462717. The reversal of 106078462650 is 56264870601.

106078462650 is a `hidden beast` number, since 1 + 0 + 60 + 78 + 462 + 65 + 0 = 666.

It is a super-2 number, since 2×1060784626502 (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106078462596 and 106078462605.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 154177 + ... + 485723.

It is an arithmetic number, because the mean of its divisors is an integer number (2487273096).

Almost surely, 2106078462650 is an apocalyptic number.

106078462650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106078462650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149236385760).

106078462650 is an abundant number, since it is smaller than the sum of its proper divisors (192394308870).

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

106078462650 is a wasteful number, since it uses less digits than its factorization.

106078462650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331650 (or 331636 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 106078462650 in words is "one hundred six billion, seventy-eight million, four hundred sixty-two thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 79 81 90 135 150 158 162 225 237 270 395 405 450 474 675 711 790 810 1185 1350 1422 1975 2025 2133 2370 3555 3950 4050 4266 5925 6399 7110 10665 11850 12798 17775 21330 31995 35550 53325 63990 106650 159975 319950 331547 663094 994641 1657735 1989282 2983923 3315470 4973205 5967846 8288675 8951769 9946410 14919615 16577350 17903538 24866025 26192213 26855307 29839230 44758845 49732050 52384426 53710614 74598075 78576639 89517690 130961065 134276535 149196150 157153278 223794225 235729917 261922130 268553070 392883195 447588450 471459834 654805325 671382675 707189751 785766390 1178649585 1309610650 1342765350 1414379502 1964415975 2121569253 2357299170 3535948755 3928831950 4243138506 5893247925 7071897510 10607846265 11786495850 17679743775 21215692530 35359487550 53039231325 106078462650