Search a number
-
+
21111248279496 = 23317312701761781
BaseRepresentation
bin1001100110011010110000…
…11101000101011111001000
32202202012211012011002001210
410303031120131011133020
510231341314024420441
6112522212405213120
74306144261400124
oct463153035053710
982665735132053
1021111248279496
1167aa259314991
12244b6024011a0
13ba1a22575b9b
1452db0b584584
152692430ba616
hex1333587457c8

21111248279496 has 128 divisors (see below), whose sum is σ = 57688453186560. Its totient is φ = 6409146163200.

The previous prime is 21111248279483. The next prime is 21111248279497. The reversal of 21111248279496 is 69497284211112.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (21111248279497) 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, 341680126 + ... + 341741906.

It is an arithmetic number, because the mean of its divisors is an integer number (450691040520).

Almost surely, 221111248279496 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 21111248279496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28844226593280).

21111248279496 is an abundant number, since it is smaller than the sum of its proper divisors (36577204907064).

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

21111248279496 is a wasteful number, since it uses less digits than its factorization.

21111248279496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88855 (or 88851 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 57.

The spelling of 21111248279496 in words is "twenty-one trillion, one hundred eleven billion, two hundred forty-eight million, two hundred seventy-nine thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 744 1054 1581 2108 3162 4216 6324 12648 27017 54034 61781 81051 108068 123562 162102 185343 216136 247124 324204 370686 459289 494248 648408 741372 837527 918578 1050277 1377867 1482744 1675054 1837156 1915211 2100554 2512581 2755734 3150831 3350108 3674312 3830422 4201108 5025162 5511468 5745633 6301662 6700216 7660844 8402216 10050324 11022936 11491266 12603324 14237959 15321688 20100648 22982532 25206648 28475918 32558587 42713877 45965064 56951836 65117174 85427754 97675761 113903672 130234348 170855508 195351522 260468696 341711016 390703044 781406088 1669137277 3338274554 5007411831 6676549108 10014823662 13353098216 20029647324 28375333709 40059294648 51743255587 56750667418 85126001127 103486511174 113501334836 155229766761 170252002254 206973022348 227002669672 310459533522 340504004508 413946044696 620919067044 681008009016 879635344979 1241838134088 1759270689958 2638906034937 3518541379916 5277812069874 7037082759832 10555624139748 21111248279496