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55632151237720 = 235192918671351979
BaseRepresentation
bin11001010011000110111101…
…00111001101010001011000
321021222101022021100112210111
430221203132213031101120
524242434121204101340
6314153020224454104
714501201366145241
oct1451433647152130
9237871267315714
1055632151237720
11167a9510056992
1262a5a72a7a334
1325071213c7255
14da4879265cc8
156671beb11aea
hex3298de9cd458

55632151237720 has 128 divisors (see below), whose sum is σ = 136376926560000. Its totient is φ = 20343786204672.

The previous prime is 55632151237711. The next prime is 55632151237759. The reversal of 55632151237720 is 2773215123655.

55632151237720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40472691 + ... + 41824669.

It is an arithmetic number, because the mean of its divisors is an integer number (1065444738750).

Almost surely, 255632151237720 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 55632151237720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68188463280000).

55632151237720 is an abundant number, since it is smaller than the sum of its proper divisors (80744775322280).

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

55632151237720 is a wasteful number, since it uses less digits than its factorization.

55632151237720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353905 (or 1353901 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 49.

The spelling of 55632151237720 in words is "fifty-five trillion, six hundred thirty-two billion, one hundred fifty-one million, two hundred thirty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 380 551 580 760 1102 1160 1867 2204 2755 3734 4408 5510 7468 9335 11020 14936 18670 22040 35473 37340 54143 70946 74680 108286 141892 177365 216572 270715 283784 354730 433144 541430 709460 1028717 1082860 1351979 1418920 2057434 2165720 2703958 4114868 5143585 5407916 6759895 8229736 10287170 10815832 13519790 20574340 25687601 27039580 39207391 41148680 51375202 54079160 78414782 102750404 128438005 156829564 196036955 205500808 256876010 313659128 392073910 513752020 744940429 784147820 1027504040 1489880858 1568295640 2524144793 2979761716 3724702145 5048289586 5959523432 7449404290 10096579172 12620723965 14898808580 20193158344 25241447930 29797617160 47958751067 50482895860 73200198997 95917502134 100965791720 146400397994 191835004268 239793755335 292800795988 366000994985 383670008536 479587510670 585601591976 732001989970 959175021340 1390803780943 1464003979940 1918350042680 2781607561886 2928007959880 5563215123772 6954018904715 11126430247544 13908037809430 27816075618860 55632151237720