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29316950304 = 2538928112211
BaseRepresentation
bin11011010011011011…
…010010100100100000
32210200011000101100020
4123103123102210200
5440020114402204
621245031553440
72055333652215
oct332333224440
983604011306
1029316950304
1111484721754
12582222b880
1329c2a0bc95
1415c1843b0c
15b68ba3bd9
hex6d36d2920

29316950304 has 96 divisors (see below), whose sum is σ = 78105021120. Its totient is φ = 9627340800.

The previous prime is 29316950287. The next prime is 29316950363. The reversal of 29316950304 is 40305961392.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 2394759 + ... + 2406969.

It is an arithmetic number, because the mean of its divisors is an integer number (813593970).

Almost surely, 229316950304 is an apocalyptic number.

29316950304 is a gapful number since it is divisible by the number (24) 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 29316950304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39052510560).

29316950304 is an abundant number, since it is smaller than the sum of its proper divisors (48788070816).

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

29316950304 is a wasteful number, since it uses less digits than its factorization.

29316950304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12594 (or 12586 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 29316950304 in words is "twenty-nine billion, three hundred sixteen million, nine hundred fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 281 356 534 562 712 843 1068 1124 1424 1686 2136 2248 2848 3372 4272 4496 6744 8544 8992 12211 13488 24422 25009 26976 36633 48844 50018 73266 75027 97688 100036 146532 150054 195376 200072 293064 300108 390752 400144 586128 600216 800288 1086779 1172256 1200432 2173558 2400864 3260337 3431291 4347116 6520674 6862582 8694232 10293873 13041348 13725164 17388464 20587746 26082696 27450328 34776928 41175492 52165392 54900656 82350984 104330784 109801312 164701968 305384899 329403936 610769798 916154697 1221539596 1832309394 2443079192 3664618788 4886158384 7329237576 9772316768 14658475152 29316950304