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10120377650416 = 24113531597102001
BaseRepresentation
bin1001001101000101010110…
…0000111100110011110000
31022211111110112000111022021
42103101111200330303300
52311303013134303131
633305123131521224
72063113251445315
oct223212540746360
938744415014267
1010120377650416
113252034389520
121175491bb9214
1358546965a477
1426db8669cd0c
151283c3144e11
hex9345583ccf0

10120377650416 has 80 divisors (see below), whose sum is σ = 21465038122848. Its totient is φ = 4584222720000.

The previous prime is 10120377650381. The next prime is 10120377650423. The reversal of 10120377650416 is 61405677302101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99167416 + ... + 99269416.

Almost surely, 210120377650416 is an apocalyptic number.

10120377650416 is a gapful number since it is divisible by the number (16) 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 10120377650416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10732519061424).

10120377650416 is an abundant number, since it is smaller than the sum of its proper divisors (11344660472432).

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

10120377650416 is a wasteful number, since it uses less digits than its factorization.

10120377650416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103970 (or 103964 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 10120377650416 in words is "ten trillion, one hundred twenty billion, three hundred seventy-seven million, six hundred fifty thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 176 353 706 1412 1597 2824 3194 3883 5648 6388 7766 12776 15532 17567 25552 31064 35134 62128 70268 102001 140536 204002 281072 408004 563741 816008 1122011 1127482 1632016 2244022 2254964 4488044 4509928 6201151 8976088 9019856 12402302 17952176 24804604 36006353 49609208 72012706 99218416 144025412 162895597 288050824 325791194 396069883 576101648 651582388 792139766 1303164776 1584279532 1791851567 2606329552 3168559064 3583703134 6337118128 7167406268 14334812536 28669625072 57502145741 115004291482 230008582964 460017165928 632523603151 920034331856 1265047206302 2530094412604 5060188825208 10120377650416