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5955123954080 = 255723701205237
BaseRepresentation
bin101011010101000100100…
…0011000100000110100000
3210002022012211100012212102
41112222021003010012200
51240032043213012310
620355425101345532
71153146344263100
oct126521103040640
923068184305772
105955123954080
1119966102499a4
12802186b682a8
1334274802b582
1416832dbc9200
15a4d8e3818a5
hex56a890c41a0

5955123954080 has 144 divisors (see below), whose sum is σ = 16370458523496. Its totient is φ = 2041195161600.

The previous prime is 5955123954067. The next prime is 5955123954133. The reversal of 5955123954080 is 804593215595.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4169126920336 + 1785997033744 = 2041844^2 + 1336412^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 28913222 + ... + 29118458.

Almost surely, 25955123954080 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 5955123954080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8185229261748).

5955123954080 is an abundant number, since it is smaller than the sum of its proper divisors (10415334569416).

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

5955123954080 is a wasteful number, since it uses less digits than its factorization.

5955123954080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208967 (or 208952 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 56.

The spelling of 5955123954080 in words is "five trillion, nine hundred fifty-five billion, one hundred twenty-three million, nine hundred fifty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3701 3920 7402 7840 14804 18505 25907 29608 37010 51814 59216 74020 103628 118432 129535 148040 181349 205237 207256 259070 296080 362698 410474 414512 518140 592160 725396 820948 829024 906745 1026185 1036280 1436659 1450792 1641896 1813490 2052370 2072560 2873318 2901584 3283792 3626980 4104740 4145120 5746636 5803168 6567584 7183295 7253960 8209480 10056613 11493272 14366590 14507920 16418960 20113226 22986544 28733180 29015840 32837920 40226452 45973088 50283065 57466360 80452904 100566130 114932720 160905808 201132260 229865440 321811616 402264520 759582137 804529040 1519164274 1609058080 3038328548 3797910685 5317074959 6076657096 7595821370 10634149918 12153314192 15191642740 21268299836 24306628384 26585374795 30383285480 37219524713 42536599672 53170749590 60766570960 74439049426 85073199344 106341499180 121533141920 148878098852 170146398688 186097623565 212682998360 297756197704 372195247130 425365996720 595512395408 744390494260 850731993440 1191024790816 1488780988520 2977561977040 5955123954080