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132530512374 = 23213971492263
BaseRepresentation
bin111101101101101101…
…1110010000111110110
3110200002021112121000100
41323123123302013312
54132410302343444
6140514512454530
712401141524311
oct1733333620766
9420067477010
10132530512374
115122a023577
122182824a446
13c661228230
1465b35bd978
1536aa0b9e69
hex1edb6f21f6

132530512374 has 144 divisors (see below), whose sum is σ = 315732729312. Its totient is φ = 39934937088.

The previous prime is 132530512357. The next prime is 132530512399. The reversal of 132530512374 is 473215035231.

132530512374 is a `hidden beast` number, since 1 + 3 + 2 + 530 + 51 + 2 + 3 + 74 = 666.

It is a super-2 number, since 2×1325305123742 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 503918167 + ... + 503918429.

It is an arithmetic number, because the mean of its divisors is an integer number (2192588398).

Almost surely, 2132530512374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132530512374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157866364656).

132530512374 is an abundant number, since it is smaller than the sum of its proper divisors (183202216938).

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

132530512374 is a wasteful number, since it uses less digits than its factorization.

132530512374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 132530512374 in words is "one hundred thirty-two billion, five hundred thirty million, five hundred twelve thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 149 194 234 263 291 298 447 526 582 789 873 894 1261 1341 1578 1746 1937 2367 2522 2682 3419 3783 3874 4734 5811 6838 7566 10257 11349 11622 14453 17433 20514 22201 22698 25511 28906 30771 34866 39187 43359 44402 51022 61542 66603 76533 78374 86718 117561 130077 133206 153066 187889 199809 229599 235122 260154 288613 331643 352683 375778 399618 459198 509431 563667 577226 663286 705366 865839 994929 1018862 1127334 1528293 1691001 1731678 1989858 2153497 2597517 2984787 3056586 3382002 3801139 4306994 4584879 5195034 5838863 5969574 6460491 7602278 9169758 11403417 11677726 12920982 17516589 19381473 22806834 27995461 34210251 35033178 38762946 49414807 52549767 55990922 68420502 75905219 83986383 98829614 105099534 148244421 151810438 167972766 227715657 251959149 296488842 444733263 455431314 503918298 566369711 683146971 889466526 1132739422 1366293942 1699109133 3398218266 5097327399 7362806243 10194654798 14725612486 22088418729 44176837458 66265256187 132530512374