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76670052703060 = 225171921135527913
BaseRepresentation
bin10001011011101100100011…
…010000011001101101010100
3101001110120210210112102001211
4101123230203100121231110
540022130231442444220
6431021422545231204
722102141244115145
oct2133544320315524
9331416723472054
1076670052703060
112247a64aa6a793
128723205632504
1333a1c5503218b
1414d0bc950dacc
158ce56d86cb5a
hex45bb23419b54

76670052703060 has 144 divisors (see below), whose sum is σ = 181515159007056. Its totient is φ = 27102866079744.

The previous prime is 76670052703031. The next prime is 76670052703093. The reversal of 76670052703060 is 6030725007667.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5502674425284 + 71167378277776 = 2345778^2 + 8436076^2 .

It is a junction number, because it is equal to n+sod(n) for n = 76670052702995 and 76670052703013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11105664 + ... + 16633576.

It is an arithmetic number, because the mean of its divisors is an integer number (1260521937549).

Almost surely, 276670052703060 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 76670052703060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90757579503528).

76670052703060 is an abundant number, since it is smaller than the sum of its proper divisors (104845106303996).

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

76670052703060 is a wasteful number, since it uses less digits than its factorization.

76670052703060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5528090 (or 5528069 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 49.

The spelling of 76670052703060 in words is "seventy-six trillion, six hundred seventy billion, fifty-two million, seven hundred three thousand, sixty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 113 170 190 226 323 340 361 380 452 565 646 722 1130 1292 1444 1615 1805 1921 2147 2260 3230 3610 3842 4294 6137 6460 7220 7684 8588 9605 10735 12274 19210 21470 24548 30685 36499 38420 40793 42940 61370 72998 81586 122740 145996 163172 182495 203965 364990 407930 693481 729980 815860 1386962 2773924 3467405 5527913 6934810 11055826 13869620 22111652 27639565 55279130 93974521 105030347 110558260 187949042 210060694 375898084 420121388 469872605 525151735 624654169 939745210 1050303470 1249308338 1785515899 1879490420 1995576593 2100606940 2498616676 3123270845 3571031798 3991153186 6246541690 7142063596 7982306372 8927579495 9977882965 10619120873 11868429211 12493083380 17855158990 19955765930 21238241746 23736858422 33924802081 35710317980 39911531860 42476483492 47473716844 53095604365 59342146055 67849604162 106191208730 118684292110 135699208324 169624010405 201763296587 212382417460 225500155009 237368584220 339248020810 403526593174 451000310018 678496041620 807053186348 902000620036 1008816482935 1127500775045 2017632965870 2255001550090 3833502635153 4035265931740 4510003100180 7667005270306 15334010540612 19167513175765 38335026351530 76670052703060