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874818341072 = 241321725217549
BaseRepresentation
bin11001011101011110011…
…11001000100011010000
310002122001121001021012222
430232233033020203100
5103313111443403242
61505515213040212
7120126546131204
oct14565717104320
93078047037188
10874818341072
11308010168825
12121666a86068
136465871a900
14304acc72b04
1517b519245d2
hexcbaf3c88d0

874818341072 has 120 divisors (see below), whose sum is σ = 1944362885400. Its totient is φ = 379810529280.

The previous prime is 874818341053. The next prime is 874818341101. The reversal of 874818341072 is 270143818478.

874818341072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 476536179856 + 398282161216 = 690316^2 + 631096^2 .

It is a super-2 number, since 2×8748183410722 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 115881554 + ... + 115889102.

It is an arithmetic number, because the mean of its divisors is an integer number (16203024045).

Almost surely, 2874818341072 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 874818341072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972181442700).

874818341072 is an abundant number, since it is smaller than the sum of its proper divisors (1069544544328).

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

874818341072 is a wasteful number, since it uses less digits than its factorization.

874818341072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10121 (or 10102 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 53.

The spelling of 874818341072 in words is "eight hundred seventy-four billion, eight hundred eighteen million, three hundred forty-one thousand, seventy-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 169 208 221 272 338 442 676 884 1352 1768 2521 2704 2873 3536 5042 5746 7549 10084 11492 15098 20168 22984 30196 32773 40336 42857 45968 60392 65546 85714 98137 120784 128333 131092 171428 196274 256666 262184 342856 392548 426049 513332 524368 557141 685712 785096 852098 1026664 1114282 1275781 1570192 1668329 1704196 2053328 2228564 2551562 3336658 3408392 4457128 5103124 6673316 6816784 7242833 8914256 10206248 13346632 14485666 19031029 20412496 21688277 26693264 28971332 38062058 43376554 57942664 76124116 86753108 115885328 152248232 173506216 247403377 304496464 323527493 347012432 494806754 647054986 989613508 1294109972 1979227016 2588219944 3216243901 3958454032 4205857409 5176439888 6432487802 8411714818 12864975604 16823429636 25729951208 33646859272 51459902416 54676146317 67293718544 109352292634 218704585268 437409170536 874818341072