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132807234015744 = 2934211237166027
BaseRepresentation
bin11110001100100110011000…
…000000011101001000000000
3122102020020200111001221202120
4132030212120000131020000
5114401403203402000434
61150242445005244240
736655002031140501
oct3614463000351000
9572206614057676
10132807234015744
1139353260362912
1212a8ab21b63680
13591488c705bc2
1424b1c93a48ba8
15105494a9aa349
hex78c99801d200

132807234015744 has 160 divisors (see below), whose sum is σ = 354936005219136. Its totient is φ = 44127957565440.

The previous prime is 132807234015727. The next prime is 132807234015751. The reversal of 132807234015744 is 447510432708231.

It is a happy number.

It is a super-2 number, since 2×1328072340157442 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 799830459 + ... + 799996485.

Almost surely, 2132807234015744 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 132807234015744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177468002609568).

132807234015744 is an abundant number, since it is smaller than the sum of its proper divisors (222128771203392).

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

132807234015744 is a wasteful number, since it uses less digits than its factorization.

132807234015744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167706 (or 167690 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 132807234015744 in words is "one hundred thirty-two trillion, eight hundred seven billion, two hundred thirty-four million, fifteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 421 512 768 842 1237 1263 1536 1684 2474 2526 3368 3711 4948 5052 6736 7422 9896 10104 13472 14844 19792 20208 26944 29688 39584 40416 53888 59376 79168 80832 107776 118752 158336 161664 166027 215552 237504 316672 323328 332054 475008 498081 520777 633344 646656 664108 950016 996162 1041554 1328216 1562331 1900032 1992324 2083108 2656432 3124662 3984648 4166216 5312864 6249324 7969296 8332432 10625728 12498648 15938592 16664864 21251456 24997296 31877184 33329728 42502912 49994592 63754368 66659456 69897367 85005824 99989184 127508736 133318912 139794734 199978368 205375399 209692101 255017472 266637824 279589468 399956736 410750798 419384202 559178936 616126197 799913472 821501596 838768404 1118357872 1232252394 1643003192 1677536808 2236715744 2464504788 3286006384 3355073616 4473431488 4929009576 6572012768 6710147232 8946862976 9858019152 13144025536 13420294464 17893725952 19716038304 26288051072 26840588928 35787451904 39432076608 52576102144 53681177856 78864153216 86463042979 105152204288 107362355712 157728306432 172926085958 259389128937 315456612864 345852171916 518778257874 691704343832 1037556515748 1383408687664 2075113031496 2766817375328 4150226062992 5533634750656 8300452125984 11067269501312 16600904251968 22134539002624 33201808503936 44269078005248 66403617007872 132807234015744