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32132030031232 = 2719113277422101
BaseRepresentation
bin1110100111001010100100…
…01111000110010110000000
311012202210101102100010101221
413103211102033012112000
513202422344141444412
6152201130102004424
76524314441552105
oct723452217062600
9135683342303357
1032132030031232
11a2691322aa52a
12372b49ba16714
1314c1064308751
147d12acb7aaac
153aac63e60b07
hex1d39523c6580

32132030031232 has 128 divisors (see below), whose sum is σ = 68224008578400. Its totient is φ = 15031244390400.

The previous prime is 32132030031191. The next prime is 32132030031253. The reversal of 32132030031232 is 23213003023123.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 32132030031197 and 32132030031206.

It is a congruent number.

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, 75912982 + ... + 76335082.

Almost surely, 232132030031232 is an apocalyptic number.

32132030031232 is a gapful number since it is divisible by the number (32) 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 32132030031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34112004289200).

32132030031232 is an abundant number, since it is smaller than the sum of its proper divisors (36091978547168).

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

32132030031232 is a wasteful number, since it uses less digits than its factorization.

32132030031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422524 (or 422512 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 32132030031232 its reverse (23213003023123), we get a palindrome (55345033054355).

The spelling of 32132030031232 in words is "thirty-two trillion, one hundred thirty-two billion, thirty million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 113 128 152 226 277 304 452 554 608 904 1108 1216 1808 2147 2216 2432 3616 4294 4432 5263 7232 8588 8864 10526 14464 17176 17728 21052 31301 34352 35456 42104 62602 68704 84208 125204 137408 168416 250408 274816 336832 422101 500816 594719 673664 844202 1001632 1189438 1688404 2003264 2378876 3376808 4006528 4757752 6753616 8019919 9515504 13507232 16039838 19031008 27014464 32079676 38062016 47697413 54028928 64159352 76124032 95394826 116921977 128318704 190789652 233843954 256637408 381579304 467687908 513274816 763158608 906250847 935375816 1026549632 1526317216 1812501694 1870751632 2221517563 3052634432 3625003388 3741503264 4443035126 6105268864 7250006776 7483006528 8886070252 13212183401 14500013552 14966013056 17772140504 26424366802 29000027104 35544281008 52848733604 58000054208 71088562016 105697467208 116000108416 142177124032 211394934416 251031484619 284354248064 422789868832 502062969238 845579737664 1004125938476 1691159475328 2008251876952 4016503753904 8033007507808 16066015015616 32132030031232