Search a number
-
+
29993702357680 = 245715280581401
BaseRepresentation
bin1101101000111011100111…
…11110010111101010110000
310221012100222200120101022021
412310131303332113222300
512412404100300421210
6143442525554521224
76213654622331035
oct664356376275260
9127170880511267
1029993702357680
119614292057186
123444b92296214
1313975177bc889
147599bac1d38c
15370311e9abda
hex1b4773f97ab0

29993702357680 has 40 divisors (see below), whose sum is σ = 70717546135584. Its totient is φ = 11828502336000.

The previous prime is 29993702357551. The next prime is 29993702357687. The reversal of 29993702357680 is 8675320739992.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×299937023576802 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29993702357687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2640285021 + ... + 2640296380.

Almost surely, 229993702357680 is an apocalyptic number.

29993702357680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29993702357680 is an abundant number, since it is smaller than the sum of its proper divisors (40723843777904).

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

29993702357680 is a wasteful number, since it uses less digits than its factorization.

29993702357680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5280581485 (or 5280581479 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 70.

The spelling of 29993702357680 in words is "twenty-nine trillion, nine hundred ninety-three billion, seven hundred two million, three hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 5280581401 10561162802 21122325604 26402907005 42244651208 52805814010 84489302416 105611628020 211223256040 374921279471 422446512080 749842558942 1499685117884 1874606397355 2999370235768 3749212794710 5998740471536 7498425589420 14996851178840 29993702357680