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60952466016 = 25321338941851
BaseRepresentation
bin111000110001000011…
…001101001001100000
312211022212211002111100
4320301003031021200
51444312312403031
644000130514400
74255313261361
oct706103151140
9184285732440
1060952466016
1123939094962
12b990a35a00
135994b93550
142d43189b68
1518bb194de6
hexe310cd260

60952466016 has 144 divisors (see below), whose sum is σ = 187151262480. Its totient is φ = 18705945600.

The previous prime is 60952465939. The next prime is 60952466021. The reversal of 60952466016 is 61066425906.

60952466016 is a `hidden beast` number, since 60 + 9 + 524 + 6 + 60 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×609524660162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1435491 + ... + 1477341.

It is an arithmetic number, because the mean of its divisors is an integer number (1299661545).

Almost surely, 260952466016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60952466016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93575631240).

60952466016 is an abundant number, since it is smaller than the sum of its proper divisors (126198796464).

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

60952466016 is a wasteful number, since it uses less digits than its factorization.

60952466016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42269 (or 42258 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 60952466016 in words is "sixty billion, nine hundred fifty-two million, four hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 389 416 468 624 778 936 1167 1248 1556 1872 2334 3112 3501 3744 4668 5057 6224 7002 9336 10114 12448 14004 15171 18672 20228 28008 30342 37344 40456 41851 45513 56016 60684 80912 83702 91026 112032 121368 125553 161824 167404 182052 242736 251106 334808 364104 376659 485472 502212 544063 669616 728208 753318 1004424 1088126 1339232 1456416 1506636 1632189 2008848 2176252 3013272 3264378 4017696 4352504 4896567 6026544 6528756 8705008 9793134 12053088 13057512 16280039 17410016 19586268 26115024 32560078 39172536 48840117 52230048 65120156 78345072 97680234 130240312 146520351 156690144 195360468 211640507 260480624 293040702 390720936 423281014 520961248 586081404 634921521 781441872 846562028 1172162808 1269843042 1562883744 1693124056 1904764563 2344325616 2539686084 3386248112 3809529126 4688651232 5079372168 6772496224 7619058252 10158744336 15238116504 20317488672 30476233008 60952466016