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13377973248 = 210321451603
BaseRepresentation
bin11000111010110001…
…11010110000000000
31021112100000110021200
430131120322300000
5204344230120443
610051252221200
7652342616313
oct143530726000
937470013250
1013377973248
115745576342
12271430a800
1313527a0503
1490ca3897a
15534713dd3
hex31d63ac00

13377973248 has 66 divisors (see below), whose sum is σ = 38628634044. Its totient is φ = 4459321344.

The previous prime is 13377973247. The next prime is 13377973261. The reversal of 13377973248 is 84237977331.

It is a junction number, because it is equal to n+sod(n) for n = 13377973194 and 13377973203.

It is not an unprimeable number, because it can be changed into a prime (13377973241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 716586 + ... + 735017.

It is an arithmetic number, because the mean of its divisors is an integer number (585282334).

Almost surely, 213377973248 is an apocalyptic number.

13377973248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13377973248 is an abundant number, since it is smaller than the sum of its proper divisors (25250660796).

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

13377973248 is a wasteful number, since it uses less digits than its factorization.

13377973248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451629 (or 1451608 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 13377973248 in words is "thirteen billion, three hundred seventy-seven million, nine hundred seventy-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 1451603 2903206 4354809 5806412 8709618 11612824 13064427 17419236 23225648 26128854 34838472 46451296 52257708 69676944 92902592 104515416 139353888 185805184 209030832 278707776 371610368 418061664 557415552 743220736 836123328 1114831104 1486441472 1672246656 2229662208 3344493312 4459324416 6688986624 13377973248