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97550114580 = 223252236913517
BaseRepresentation
bin101101011011001110…
…0001001111100010100
3100022210102202021020200
41122312130021330110
53044240312131310
6112451445300500
710022245202262
oct1326634117424
9308712667220
1097550114580
1138409550a06
1216aa5404730
1392780a88b9
144a15937432
15280e10c9c0
hex16b6709f14

97550114580 has 144 divisors (see below), whose sum is σ = 297743706624. Its totient is φ = 25851882240.

The previous prime is 97550114579. The next prime is 97550114581. The reversal of 97550114580 is 8541105579.

97550114580 is a `hidden beast` number, since 9 + 7 + 5 + 50 + 1 + 14 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (97550114579) and next prime (97550114581).

It is a super-2 number, since 2×975501145802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97550114581) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 27734982 + ... + 27738498.

Almost surely, 297550114580 is an apocalyptic number.

97550114580 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97550114580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148871853312).

97550114580 is an abundant number, since it is smaller than the sum of its proper divisors (200193592044).

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

97550114580 is a wasteful number, since it uses less digits than its factorization.

97550114580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 97550114580 in words is "ninety-seven billion, five hundred fifty million, one hundred fourteen thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 223 446 669 691 892 1115 1338 1382 2007 2073 2230 2676 2764 3345 3455 3517 4014 4146 4460 6219 6690 6910 7034 8028 8292 10035 10365 10551 12438 13380 13820 14068 17585 20070 20730 21102 24876 31095 31653 35170 40140 41460 42204 52755 62190 63306 70340 105510 124380 126612 154093 158265 211020 308186 316530 462279 616372 633060 770465 784291 924558 1386837 1540930 1568582 1849116 2311395 2352873 2430247 2773674 3081860 3137164 3921455 4622790 4705746 4860494 5547348 6934185 7058619 7290741 7842910 9245580 9411492 9720988 11764365 12151235 13868370 14117238 14581482 15685820 21872223 23528730 24302470 27736740 28234476 29162964 35293095 36453705 43744446 47057460 48604940 70586190 72907410 87488892 109361115 141172380 145814820 218722230 437444460 541945081 1083890162 1625835243 2167780324 2709725405 3251670486 4877505729 5419450810 6503340972 8129176215 9755011458 10838901620 16258352430 19510022916 24387528645 32516704860 48775057290 97550114580