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61051551040 = 2653719326717
BaseRepresentation
bin111000110110111101…
…001011110101000000
312211120210021010121001
4320312331023311000
52000013144113130
644014030341344
74260625423114
oct706675136500
9184523233531
1061051551040
112398a010a07
12b9ba05a854
1359ac57673c
142d523bd744
1518c4c186ca
hexe36f4bd40

61051551040 has 112 divisors (see below), whose sum is σ = 150087403152. Its totient is φ = 23636606976.

The previous prime is 61051551023. The next prime is 61051551079. The reversal of 61051551040 is 4015515016.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1191078144 + 59860472896 = 34512^2 + 244664^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2271762 + ... + 2298478.

Almost surely, 261051551040 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 61051551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75043701576).

61051551040 is an abundant number, since it is smaller than the sum of its proper divisors (89035852112).

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

61051551040 is a wasteful number, since it uses less digits than its factorization.

61051551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26964 (or 26954 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

The spelling of 61051551040 in words is "sixty-one billion, fifty-one million, five hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 193 296 320 370 386 592 740 772 965 1184 1480 1544 1930 2368 2960 3088 3860 5920 6176 7141 7720 11840 12352 14282 15440 26717 28564 30880 35705 53434 57128 61760 71410 106868 114256 133585 142820 213736 228512 267170 285640 427472 457024 534340 571280 854944 988529 1068680 1142560 1709888 1977058 2137360 2285120 3954116 4274720 4942645 5156381 7908232 8549440 9885290 10312762 15816464 19770580 20625524 25781905 31632928 39541160 41251048 51563810 63265856 79082320 82502096 103127620 158164640 165004192 190786097 206255240 316329280 330008384 381572194 412510480 763144388 825020960 953930485 1526288776 1650041920 1907860970 3052577552 3815721940 6105155104 7631443880 12210310208 15262887760 30525775520 61051551040