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60105988672 = 2619214123087
BaseRepresentation
bin110111111110100110…
…001001101001000000
312202010220000120212121
4313332212021221000
51441044113114142
643340131534024
74225324321402
oct677646115100
9182126016777
1060105988672
1123544299a04
12b79545a314
13588b6b9792
142ca29a2b72
15186bbdbc67
hexdfe989a40

60105988672 has 56 divisors (see below), whose sum is σ = 125614419840. Its totient is φ = 28456727040.

The previous prime is 60105988661. The next prime is 60105988717. The reversal of 60105988672 is 27688950106.

60105988672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×601059886722 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2591913 + ... + 2614999.

It is an arithmetic number, because the mean of its divisors is an integer number (2243114640).

Almost surely, 260105988672 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 60105988672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62807209920).

60105988672 is an abundant number, since it is smaller than the sum of its proper divisors (65508431168).

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

60105988672 is a wasteful number, since it uses less digits than its factorization.

60105988672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25259 (or 25249 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 60105988672 in words is "sixty billion, one hundred five million, nine hundred eighty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 2141 4282 8564 17128 23087 34256 40679 46174 68512 81358 92348 137024 162716 184696 325432 369392 438653 650864 738784 877306 1301728 1477568 1754612 2603456 3509224 7018448 14036896 28073792 49429267 98858534 197717068 395434136 790868272 939156073 1581736544 1878312146 3163473088 3756624292 7513248584 15026497168 30052994336 60105988672