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11315450880 = 210325245561
BaseRepresentation
bin10101000100111010…
…00001010000000000
31002012121000110111100
422202131001100000
5141133223412010
65110453214400
7550256513466
oct124235012000
932177013440
1011315450880
1148873057a8
122239631400
1310b43a5086
14794b46836
154636012c0
hex2a2741400

11315450880 has 132 divisors (see below), whose sum is σ = 39207902292. Its totient is φ = 3017441280.

The previous prime is 11315450863. The next prime is 11315450929. The reversal of 11315450880 is 8805451311.

11315450880 is a `hidden beast` number, since 1 + 1 + 31 + 545 + 0 + 8 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5578297344 + 5737153536 = 74688^2 + 75744^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76701 + ... + 168860.

Almost surely, 211315450880 is an apocalyptic number.

11315450880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11315450880 is an abundant number, since it is smaller than the sum of its proper divisors (27892451412).

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

11315450880 is a wasteful number, since it uses less digits than its factorization.

11315450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245592 (or 245571 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 11315450880 in words is "eleven billion, three hundred fifteen million, four hundred fifty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 245561 491122 736683 982244 1227805 1473366 1964488 2210049 2455610 2946732 3683415 3928976 4420098 4911220 5893464 7366830 7857952 8840196 9822440 11050245 11786928 14733660 15715904 17680392 19644880 22100490 23573856 29467320 31431808 35360784 39289760 44200980 47147712 58934640 62863616 70721568 78579520 88401960 94295424 117869280 125727232 141443136 157159040 176803920 188590848 235738560 251454464 282886272 314318080 353607840 377181696 471477120 565772544 628636160 707215680 754363392 942954240 1131545088 1257272320 1414431360 1885908480 2263090176 2828862720 3771816960 5657725440 11315450880