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29148496600 = 23521910970373
BaseRepresentation
bin11011001001011000…
…101100001011011000
32210020102001001022011
4123021120230023120
5434144003342400
621220213235304
72051220063436
oct331130541330
983212031264
1029148496600
11113a8625a13
125795932b34
132996b4b732
1415a7313d56
15b58ecb8ba
hex6c962c2d8

29148496600 has 96 divisors (see below), whose sum is σ = 71992602000. Its totient is φ = 10944253440.

The previous prime is 29148496583. The next prime is 29148496609. The reversal of 29148496600 is 669484192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29148496609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379014 + ... + 449386.

Almost surely, 229148496600 is an apocalyptic number.

29148496600 is a gapful number since it is divisible by the number (20) 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 29148496600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35996301000).

29148496600 is an abundant number, since it is smaller than the sum of its proper divisors (42844105400).

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

29148496600 is a wasteful number, since it uses less digits than its factorization.

29148496600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70517 (or 70508 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 29148496600 in words is "twenty-nine billion, one hundred forty-eight million, four hundred ninety-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 109 152 190 200 218 380 436 475 545 760 872 950 1090 1900 2071 2180 2725 3800 4142 4360 5450 8284 10355 10900 16568 20710 21800 41420 51775 70373 82840 103550 140746 207100 281492 351865 414200 562984 703730 1337087 1407460 1759325 2674174 2814920 3518650 5348348 6685435 7037300 7670657 10696696 13370870 14074600 15341314 26741740 30682628 33427175 38353285 53483480 61365256 66854350 76706570 133708700 145742483 153413140 191766425 267417400 291484966 306826280 383532850 582969932 728712415 767065700 1165939864 1457424830 1534131400 2914849660 3643562075 5829699320 7287124150 14574248300 29148496600