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33140642352 = 2438918774133
BaseRepresentation
bin11110110111010101…
…100001001000110000
310011112121222001202020
4132313111201020300
51020333001023402
623120302551440
72252153545356
oct366725411060
9104477861666
1033140642352
1113067035124
12650a898580
133181c5015c
1418655c17d6
15cde6ee8bc
hex7b7561230

33140642352 has 80 divisors (see below), whose sum is σ = 86642356320. Its totient is φ = 10914297856.

The previous prime is 33140642329. The next prime is 33140642357. The reversal of 33140642352 is 25324604133.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (33140642357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8016478 + ... + 8020610.

It is an arithmetic number, because the mean of its divisors is an integer number (1083029454).

Almost surely, 233140642352 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 33140642352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43321178160).

33140642352 is an abundant number, since it is smaller than the sum of its proper divisors (53501713968).

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

33140642352 is a wasteful number, since it uses less digits than its factorization.

33140642352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6110 (or 6104 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 33140642352 in words is "thirty-three billion, one hundred forty million, six hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1068 1424 1877 2136 3754 4133 4272 5631 7508 8266 11262 12399 15016 16532 22524 24798 30032 33064 45048 49596 66128 90096 99192 167053 198384 334106 367837 501159 668212 735674 1002318 1103511 1336424 1471348 2004636 2207022 2672848 2942696 4009272 4414044 5885392 7757641 8018544 8828088 15515282 17656176 23272923 31030564 46545846 62061128 93091692 124122256 186183384 372366768 690430049 1380860098 2071290147 2761720196 4142580294 5523440392 8285160588 11046880784 16570321176 33140642352