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77487104760976 = 24107213121572
BaseRepresentation
bin10001100111100101011111…
…010110101001110010010000
3101011100200202120010110000001
4101213211133112221302100
540124022042304322401
6432445030130335344
722215154456036561
oct2147453726516220
9334320676113001
1077487104760976
1122765107609a29
12883562a72a554
1334310059cac41
14151c578426168
158e593dbbb601
hex46795f5a9c90

77487104760976 has 135 divisors (see below), whose sum is σ = 153692047107417. Its totient is φ = 37845873087360.

The previous prime is 77487104760973. The next prime is 77487104760979. The reversal of 77487104760976 is 67906740178477.

The square root of 77487104760976 is 8802676.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (77487104760973) and next prime (77487104760979).

It can be written as a sum of positive squares in only one way, i.e., 22712659008400 + 54774445752576 = 4765780^2 + 7400976^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77487104760899 and 77487104760908.

It is not an unprimeable number, because it can be changed into a prime (77487104760973) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 493548437890 + ... + 493548438046.

Almost surely, 277487104760976 is an apocalyptic number.

77487104760976 is the 8802676-th square number.

It is an amenable number.

77487104760976 is a deficient number, since it is larger than the sum of its proper divisors (76204942346441).

77487104760976 is an equidigital number, since it uses as much as digits as its factorization.

77487104760976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 697019904, while the sum is 73.

The spelling of 77487104760976 in words is "seventy-seven trillion, four hundred eighty-seven billion, one hundred four million, seven hundred sixty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 107 131 157 214 262 314 428 524 628 856 1048 1256 1712 2096 2512 11449 14017 16799 17161 20567 22898 24649 28034 33598 34322 41134 45796 49298 56068 67196 68644 82268 91592 98596 112136 134392 137288 164536 183184 197192 224272 268784 274576 329072 394384 1499819 1797493 1836227 2200669 2637443 2694277 2999638 3229019 3594986 3672454 4401338 5274886 5388554 5999276 6458038 7189972 7344908 8802676 10549772 10777108 11998552 12916076 14379944 14689816 17605352 21099544 21554216 23997104 25832152 28759888 29379632 35210704 42199088 43108432 51664304 196476289 235471583 282206401 288287639 345505033 392952578 423001489 470943166 564412802 576575278 691010066 785905156 846002978 941886332 1128825604 1153150556 1382020132 1571810312 1692005956 1883772664 2257651208 2306301112 2764040264 3143620624 3384011912 3767545328 4515302416 4612602224 5528080528 6768023824 30846777373 36969038531 45261159323 61693554746 73938077062 90522318646 123387109492 147876154124 181044637292 246774218984 295752308248 362089274584 493548437968 591504616496 724178549168 4842944047561 9685888095122 19371776190244 38743552380488 77487104760976