Search a number
-
+
10378221648 = 2431929894409
BaseRepresentation
bin10011010101001011…
…10001100001010000
3222210021110021200120
421222211301201100
5132223311043043
64433453150240
7515116266654
oct115245614120
928707407616
1010378221648
114446265593
12201778b380
13c95175072
14706498a64
1540b1bd983
hex26a971850

10378221648 has 160 divisors (see below), whose sum is σ = 29529360000. Its totient is φ = 3128057856.

The previous prime is 10378221647. The next prime is 10378221653. The reversal of 10378221648 is 84612287301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10378221647) 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, 2351668 + ... + 2356076.

It is an arithmetic number, because the mean of its divisors is an integer number (184558500).

Almost surely, 210378221648 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 10378221648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764680000).

10378221648 is an abundant number, since it is smaller than the sum of its proper divisors (19151138352).

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

10378221648 is a wasteful number, since it uses less digits than its factorization.

10378221648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4557 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 10378221648 in words is "ten billion, three hundred seventy-eight million, two hundred twenty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 38 48 57 58 76 87 89 114 116 152 174 178 228 232 267 304 348 356 456 464 534 551 696 712 912 1068 1102 1392 1424 1653 1691 2136 2204 2581 3306 3382 4272 4408 4409 5073 5162 6612 6764 7743 8816 8818 10146 10324 13224 13227 13528 15486 17636 20292 20648 26448 26454 27056 30972 35272 40584 41296 49039 52908 61944 70544 81168 83771 98078 105816 123888 127861 147117 167542 196156 211632 251313 255722 294234 335084 383583 392312 392401 502626 511444 588468 670168 767166 784624 784802 1005252 1022888 1176936 1177203 1340336 1534332 1569604 2010504 2045776 2353872 2354406 2429359 3068664 3139208 4021008 4708812 4858718 6137328 6278416 7288077 7455619 9417624 9717436 11379629 14576154 14911238 18835248 19434872 22366857 22759258 29152308 29822476 34138887 38869744 44733714 45518516 58304616 59644952 68277774 89467428 91037032 116609232 119289904 136555548 178934856 182074064 216212951 273111096 357869712 432425902 546222192 648638853 864851804 1297277706 1729703608 2594555412 3459407216 5189110824 10378221648