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41269922500 = 22541722392
BaseRepresentation
bin100110011011111000…
…010000101011000100
310221112011122021200011
4212123320100223010
51134010100010000
630543101400004
72660464360522
oct463370205304
9127464567604
1041269922500
1116558882674
127bb9269004
133b791b91b1
141dd70dd312
1511182352ba
hex99be10ac4

41269922500 has 135 divisors (see below), whose sum is σ = 96272924209. Its totient is φ = 15471904000.

The previous prime is 41269922497. The next prime is 41269922501. The reversal of 41269922500 is 522996214.

The square root of 41269922500 is 203150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 20154345156 + 21115577344 = 141966^2 + 145312^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41269922501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 172677381 + ... + 172677619.

Almost surely, 241269922500 is an apocalyptic number.

41269922500 is the 203150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41269922500

41269922500 is an abundant number, since it is smaller than the sum of its proper divisors (55003001709).

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

41269922500 is an equidigital number, since it uses as much as digits as its factorization.

41269922500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 41269922500 in words is "forty-one billion, two hundred sixty-nine million, nine hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 239 250 289 340 425 478 500 578 625 850 956 1156 1195 1250 1445 1700 2125 2390 2500 2890 4063 4250 4780 5780 5975 7225 8126 8500 10625 11950 14450 16252 20315 21250 23900 28900 29875 36125 40630 42500 57121 59750 69071 72250 81260 101575 114242 119500 138142 144500 149375 180625 203150 228484 276284 285605 298750 345355 361250 406300 507875 571210 597500 690710 722500 971057 1015750 1142420 1381420 1428025 1726775 1942114 2031500 2539375 2856050 3453550 3884228 4855285 5078750 5712100 6907100 7140125 8633875 9710570 10157500 14280250 16507969 17267750 19421140 24276425 28560500 33015938 34535500 35700625 43169375 48552850 66031876 71401250 82539845 86338750 97105700 121382125 142802500 165079690 172677500 242764250 330159380 412699225 485528500 606910625 825398450 1213821250 1650796900 2063496125 2427642500 4126992250 8253984500 10317480625 20634961250 41269922500