Search a number
-
+
91772404464 = 243133140111831
BaseRepresentation
bin101010101111000001…
…1111100001011110000
322202212202222011222010
41111132003330023300
53000422213420324
6110054253042520
76426130365336
oct1253603741360
9282782864863
1091772404464
1135a14147874
1215952486440
13886709c910
14462846db56
1525c1c83829
hex155e0fc2f0

91772404464 has 160 divisors (see below), whose sum is σ = 264231088128. Its totient is φ = 27256320000.

The previous prime is 91772404447. The next prime is 91772404483. The reversal of 91772404464 is 46440427719.

It is a super-2 number, since 2×917724044642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 7751029 + ... + 7762859.

Almost surely, 291772404464 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 91772404464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132115544064).

91772404464 is an abundant number, since it is smaller than the sum of its proper divisors (172458683664).

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

91772404464 is a wasteful number, since it uses less digits than its factorization.

91772404464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12287 (or 12281 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 91772404464 in words is "ninety-one billion, seven hundred seventy-two million, four hundred four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 401 403 496 624 744 802 806 1203 1209 1488 1604 1612 2406 2418 3208 3224 4812 4836 5213 6416 6448 9624 9672 10426 11831 12431 15639 19248 19344 20852 23662 24862 31278 35493 37293 41704 47324 49724 62556 70986 74586 83408 94648 99448 125112 141972 149172 153803 161603 189296 198896 250224 283944 298344 307606 323206 366761 461409 484809 567888 596688 615212 646412 733522 922818 969618 1100283 1230424 1292824 1467044 1845636 1939236 2200566 2460848 2585648 2934088 3691272 3878472 4401132 4744231 4767893 5868176 7382544 7756944 8802264 9488462 9535786 14232693 14303679 17604528 18976924 19071572 28465386 28607358 37953848 38143144 56930772 57214716 61675003 75907696 76286288 113861544 114429432 123350006 147071161 185025009 227723088 228858864 246700012 294142322 370050018 441213483 493400024 588284644 740100036 882426966 986800048 1176569288 1480200072 1764853932 1911925093 2353138576 2960400144 3529707864 3823850186 5735775279 7059415728 7647700372 11471550558 15295400744 22943101116 30590801488 45886202232 91772404464