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67214153106 = 2335927197759
BaseRepresentation
bin111110100110010001…
…101001010110010010
320102111021021202101000
4332212101221112102
52100123310344411
650513332322430
74566425606022
oct764621512622
9212437252330
1067214153106
1126561701071
1211039a73416
136452234439
143378a37a82
151b35c6e956
hexfa6469592

67214153106 has 64 divisors (see below), whose sum is σ = 151971840000. Its totient is φ = 22014038736.

The previous prime is 67214153099. The next prime is 67214153107. The reversal of 67214153106 is 60135141276.

67214153106 is a `hidden beast` number, since 67 + 21 + 41 + 531 + 0 + 6 = 666.

67214153106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (67214153107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8658855 + ... + 8666613.

It is an arithmetic number, because the mean of its divisors is an integer number (2374560000).

Almost surely, 267214153106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67214153106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75985920000).

67214153106 is an abundant number, since it is smaller than the sum of its proper divisors (84757686894).

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

67214153106 is a wasteful number, since it uses less digits than its factorization.

67214153106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10548 (or 10542 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 67214153106 in words is "sixty-seven billion, two hundred fourteen million, one hundred fifty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 1062 1593 2719 3186 5438 7759 8157 15518 16314 23277 24471 46554 48942 69831 73413 139662 146826 160421 209493 320842 418986 457781 481263 915562 962526 1373343 1443789 2746686 2887578 4120029 4331367 8240058 8662734 12360087 21096721 24720174 42193442 63290163 126580326 189870489 379740978 569611467 1139222934 1244706539 2489413078 3734119617 7468239234 11202358851 22404717702 33607076553 67214153106