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53501660640 = 25325107347233
BaseRepresentation
bin110001110100111100…
…101000110111100000
312010002121210221222200
4301310330220313200
51334032411120030
640324530133200
73602551416621
oct616474506740
9163077727880
1053501660640
112076532456a
12a451721200
13507836b17c
142837801a48
1515d1ecdd60
hexc74f28de0

53501660640 has 144 divisors (see below), whose sum is σ = 184281250608. Its totient is φ = 14133731328.

The previous prime is 53501660629. The next prime is 53501660699. The reversal of 53501660640 is 4606610535.

53501660640 is a `hidden beast` number, since 5 + 3 + 5 + 0 + 1 + 6 + 6 + 0 + 640 = 666.

53501660640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 53501660595 and 53501660604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19537 + ... + 327696.

It is an arithmetic number, because the mean of its divisors is an integer number (1279730907).

Almost surely, 253501660640 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 53501660640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92140625304).

53501660640 is an abundant number, since it is smaller than the sum of its proper divisors (130779589968).

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

53501660640 is a wasteful number, since it uses less digits than its factorization.

53501660640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347361 (or 347350 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 53501660640 in words is "fifty-three billion, five hundred one million, six hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 107 120 144 160 180 214 240 288 321 360 428 480 535 642 720 856 963 1070 1284 1440 1605 1712 1926 2140 2568 3210 3424 3852 4280 4815 5136 6420 7704 8560 9630 10272 12840 15408 17120 19260 25680 30816 38520 51360 77040 154080 347233 694466 1041699 1388932 1736165 2083398 2777864 3125097 3472330 4166796 5208495 5555728 6250194 6944660 8333592 10416990 11111456 12500388 13889320 15625485 16667184 20833980 25000776 27778640 31250970 33334368 37153931 41667960 50001552 55557280 62501940 74307862 83335920 100003104 111461793 125003880 148615724 166671840 185769655 222923586 250007760 297231448 334385379 371539310 445847172 500015520 557308965 594462896 668770758 743078620 891694344 1114617930 1188925792 1337541516 1486157240 1671926895 1783388688 2229235860 2675083032 2972314480 3343853790 3566777376 4458471720 5350166064 5944628960 6687707580 8916943440 10700332128 13375415160 17833886880 26750830320 53501660640