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41265255680 = 285113194541
BaseRepresentation
bin100110011011100110…
…011101010100000000
310221111211212011222222
4212123212131110000
51134002401140210
630542413350212
72660406612605
oct463346352400
9127454764888
1041265255680
11165561853a0
127bb7798368
133b78243c6c
141dd66466ac
151117b12655
hex99b99d500

41265255680 has 144 divisors (see below), whose sum is σ = 111308456448. Its totient is φ = 14521344000.

The previous prime is 41265255653. The next prime is 41265255709. The reversal of 41265255680 is 8655256214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 389210 + ... + 483750.

It is an arithmetic number, because the mean of its divisors is an integer number (772975392).

Almost surely, 241265255680 is an apocalyptic number.

41265255680 is a gapful number since it is divisible by the number (40) 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 41265255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55654228224).

41265255680 is an abundant number, since it is smaller than the sum of its proper divisors (70043200768).

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

41265255680 is a wasteful number, since it uses less digits than its factorization.

41265255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94604 (or 94590 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 44.

The spelling of 41265255680 in words is "forty-one billion, two hundred sixty-five million, two hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 128 155 160 176 220 248 256 310 320 341 352 440 496 620 640 682 704 880 992 1240 1280 1364 1408 1705 1760 1984 2480 2728 2816 3410 3520 3968 4960 5456 6820 7040 7936 9920 10912 13640 14080 19840 21824 27280 39680 43648 54560 87296 94541 109120 189082 218240 378164 436480 472705 756328 945410 1039951 1512656 1890820 2079902 2930771 3025312 3781640 4159804 5199755 5861542 6050624 7563280 8319608 10399510 11723084 12101248 14653855 15126560 16639216 20799020 23446168 24202496 29307710 30253120 32238481 33278432 41598040 46892336 58615420 60506240 64476962 66556864 83196080 93784672 117230840 121012480 128953924 133113728 161192405 166392160 187569344 234461680 257907848 266227456 322384810 332784320 375138688 468923360 515815696 644769620 665568640 750277376 937846720 1031631392 1289539240 1331137280 1875693440 2063262784 2579078480 3751386880 4126525568 5158156960 8253051136 10316313920 20632627840 41265255680